What is the value of y in the solutions of the system of equations: 3x + 4y = 3 and 2x – 4y = 12?

Answers

Answer 1

Answer:

y = -3

Step-by-step explanation:

3x + 4y = 3

2x - 4y = 12

5x       = 15       Add the two equation together because the y terms are

                       opposite each other and goes out when you add the equations

x = 5

Substitute into the first equation and solve for y when x = 5

 3x + 4y = 3

3(5) + 4y = 3

 15 + 4y = 3

    4y = 3 - 15

    4y =  -12

      y = -3  

Answer 2
Explanation:
Step 1) Solve the second equation for
y
2
x
+
y
=

8

2
x
+
2
x
+
y
=

2
x

8
0
+
y
=

2
x

8
y
=

2
x

8
Step 2) Substitute
(

2
x

8
)
for
y
in the first equation and solve for
x
:

3
x
+
4
y
=
12
becomes:

3
x
+
4
(

2
x

8
)
=
12

3
x
+
(
4
×

2
x
)
+
(
4
×

8
)
=
12

3
x
+
(

8
x
)
+
(

32
)
=
12

3
x

8
x

32
=
12
(

3

8
)
x

32
=
12

11
x

32
=
12

11
x

32
+
32
=
12
+
32

11
x

0
=
44

11
x
=
44

11
x

11
=
44

11

11
x

11
=

4
x
=

4
Step 3) Substitute

4
for
x
in the solution to the second equation at the end of Step 1 and calculate
y
:
y
=

2
x

8
becomes:
y
=
(

2
×

4
)

8
y
=
8

8
y
=
0
The Solution Is:
x
=

4
and
y
=
0
Or
(

4
,
0
)

Related Questions

HELP PLSSS

Use the commutative
property to make an
equivalent
expression.
4+m=?

A. 4-m
B. m+4

Answers

Answer:

B. m+4

Step-by-step explanation:

You are just writing the same equation but backwards so that the numbers still stay the same as well as the answer.

Answer: A

Step-by-step explanation:


Itemized Charitable Contributions The average charitable contribution itemized per income tax return in Pennsylvania is $792. Suppose that
the distribution of contributions is normal with a standard deviation of $108. Find the limits for the middle 58% of contributions.

Answers

Answer:

B

Step-by-step explanation:

What is equivalent to 6x=3+4=5+3x+4?

Answers

Answer: Can I see an image of the word problem?

Which represents the inverse of the function f(x) = 4x?
Oh(x) =x+4
O h(x) =x-4
O h(x) = 3/4x
O h(x) = =1/2x

Answers

Answer:

h(x) = 1/2x

f(x) = 4x 4x/2=2x

So,h(x) = 1/2x

The  inverse of the function of f(x) = 4x is h(x) = x/4

Inverse of the function

Since f(x) = 4x, to obtain its inverse, we write f(x) = y

So, y = 4x.

We now divide both sides by 4. so, we have

y/4 = 4x/4

y/4 = x

Next, we replace x with y. So,

y/4 = x

x/4 = y

Next, we now replace y with f⁻¹(x) which is the inverse of f(x).

So, y = x/4

f⁻¹(x) = x/4

Since  f⁻¹(x) = h(x), replacing these, we have

h(x) = x/4

So, the  inverse of the function of f(x) = 4x is h(x) = x/4

Learn more about inverse of a function here:

https://brainly.com/question/10219387

A BCC professor decides to grade his class as following: 20 percent for homework assignments, 10 percent for quizzes, 25 percent for a midterm, and 45 percent for the final exam. A student receives 90 for homework, 95 for the quizzes, 85 for the midterm and 84 for the final exam. What will be the student’s class grade?
Class grade: ?

Answers

Answer:

86.55%

Step-by-step explanation:

Basically what you would do is take each percentage and turn it into decimal percent. after that, you multiply it with the respective numbers, like:

90 × 0.20= 18

95 × 0.10= 9.5

85 × 0.25= 21.25

84 × 0.45= 37.8

Adding these numbers together, you could get 86.55, or 86.55%.

y^ –7x^3 zx^–1y^7 z^–4 simplified

Answers

Answer: -7x^4 y - 7zx + y - 4

Step-by-step explanation:

What is the change in elevation for
(3)(4)(-3.5)

Answers

Hey there!

(3)(4)(-3.5)

= 12(-3.5)

= -42

Therefore, your answer SHOULD be: -42

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

A car travels at an average speed of 60 km/h for 2.1 hours.
How far did the car travel in km?

Answers

Answer:

15 km

Step-by-step explanation:

Rewrite in standard form.
4y = 3 - 4/5x

Answers

Answer:

−17x+10y=3

Step-by-step explanation:

The formula p=F/A can be used to relate pressure force and area. Solve the formula for A.

Answers

[tex]P=\dfrac{F}{A}\\\\\implies PA = F\\\\\implies A = \dfrac{F}{P}[/tex]

10.) - 3x - y = - 36
4x + 4y = 72

Answers

Ok done. Thank to me:>

What is 27.6 / 8???????????

Answers

Answer:

seriously??

have you heard of calculators lol

the answer is 3.45

Find an equation in slope-intercept form of the line satisfying the specified conditions.
Through (8,-3), perpendicular to -6x + 7y=-62.

Answers

Answer:

[tex]y = - \frac{7}{6} x + 6 \frac{1}{3} [/tex]

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

-6x +7y= -62

Rewriting this equation into the slope-intercept form:

7y= 6x -62

[tex]y = \frac{6}{7} x - \frac{62}{7} [/tex]

The product of the slope of 2 perpendicular lines is -1.

Let the slope of the unknown line be m.

[tex]m( \frac{6}{7} ) = - 1[/tex]

[tex]m = - 1 \div \frac{6}{7} [/tex]

[tex]m = - \frac{7}{6} [/tex]

Substitute the value of m into the equation:

[tex]y = - \frac{7}{6} x + c[/tex]

To find the value of c, substitute a pair of coordinates into the equation.

When x= 8, y= -3,

[tex] - 3 = - \frac{ 7}{6} (8) + c[/tex]

[tex] - 3 = - \frac{28}{3} + c[/tex]

[tex]c = \frac{28}{3} - 3[/tex]

[tex]c = \frac{19}{3} [/tex]

[tex]c = 6 \frac{1}{3} [/tex]

Thus, the equation of the line is [tex]y = - \frac{7}{6} x + 6 \frac{1}{3} [/tex].

HELP, pANYONE PLEASE !!!!

Answers

Answer:

A

Step-by-step explanation:

The line starts at -35, meaning that she starts the ascent 35 meters below the surface and goes upwards over time.

Answer:

a

Step-by-step explanation:

the starting point of the graph or also known as the y axis starts at -35

Which of the following is an example of a ratio variable?

A-Martha is the same gender as Ruth

B-Mary's IQ is 115 and Janet's is a 90, which means Mary's IQ is slightly higher than Janet's

C-Sam is twice the age of his son

D-George and Harry attend religious services about the same amount

Answers

I think c so like it would be Sam age=2x and let’s say is son was 16 he would be 32

Which relation is also a function? {(2,0), (3,2), (2,3)} {(0,0), (3,0), (5,0)} {(3,1), (3,2), (3,3)} {(5,2), (5,4), (2,6)}

Answers

Answer:

only{(0,0), (3,0), (5,0)}    (the x axis)

Step-by-step explanation:

as all the others have more than one possible output y for a unique input x

B = {x|x ∈ N and 1 ≤ x < 9}

Answers

Answer:

Set membership x ∈ X means x is an element of the set X. (Non-membership is written x ∈ X.) Set inclusion X ⊆ Y means every element of X is an element of Y ; X is a subset of Y .

Step-by-step explanation:

Carry on learning

can you guys help me plz

Answers

Answer:

1) x>1

2) x<6

3) x>34

4) x>-4

5) x<2

6) x>-36

7) x<=4

8) x>-2

9) x>=2

10) x>14

Write each quotient as a single power.

Answers

[tex]a)\frac{-3^4}{3^4} = -3^{4-4} = -1[/tex]

[tex]b)\frac{(-9)^{10}}{(-9)^5} = (-9)^{10-5}= (-9)^5[/tex]

[tex]c)\frac{11^9}{11^6} = 11^{9-6} =11^3[/tex]

ok done. Thank to me :>

Is it true that Confidence intervals are always close to their true population values?

Answers

Answer:

This means that there is a 95% probability that the confidence interval will contain the true population mean. Thus, P( [sample mean] - margin of error < μ < [sample mean] + margin of error) = 0.95.

Convert 39/4 into a mixed number.

Answers

Answer: The answer is 9 3/4.

Step-by-step explanation: When converting an improper fraction to a mixed number, the first step to take is figure out how many times the denominator goes into the numerator. The number 4 goes into 39

9 times(4 x 9 = 36). The remainder 3 becomes the numerator of the denominator 4, therefore 39/4 converted to a mixed number is 9 3/4.

Answer:

9 3/4

Step-by-step explanation:

Rob is saving to buy a new MP3 player. For every $15 he earns babysitting, he saves $10.On Saturday, Rob earned $45 babysitting. How much money did he save?

Answers

Answer:

$30

Step-by-step explanation:

Okay, so we can solve this problem using fractions; $10 saved for every $15 made..

10/15=x/45

Using cross multiplication we can conclude 10*45=15x

450=15x

x=30

Hope this helps :)

These are so random? I don’t know why I have to put these? Ignore them

Answers

What are so random? You dont know why you have to put what? Lol XD

The angle of elevation to a nearby tree from a point on the ground is
measured to be 38°. How tall is the tree if the point on the ground is 77 feet from the tree? Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer:

Step-by-step explanation:

tan 38 = opp/adj = h/77

h = 77tan38

h = 60.1589932...

h = 60.2 ft

A market increased the price of cheese selling for $4.98 per pound by 3%. What is the new
price for two pounds of cheese?

QUICK

Answers

Answer:

$10.26

Step-by-step explanation:

$4.98x0.03= 0.1494,

4.98+0.1494= 5.13

2; 5.13+5.13= 10.26

Answer:

$10.26

Step-by-step explanation:

$4.98*103/100=x

x=5.1294

2 pounds=2x=$10.2588=$10.26

sin^2 θ - secθcosθ + cos^2 θ =

Answers

Answer:

0

Step-by-step explanation:

sin²θ + cos²θ = 1

secθcosθ = (1/cosθ)cosθ = 1

1 - 1 = 0

Pls help asap thank you

Answers

Answer: I worked at the pizza place in Chucky cheese since i was little. I grew up and became manager. Then i sabotaged everyone there. I’m gonna cry right now . miss that job so much. I think I might….

What is the equation for the graph shown?

Answers

Answer: y=2/3x+4

Step-by-step explanation:

this will be written out in y=mx+b form. M stands for the slope, and b stands for the y-intercept, or where the line intersects with the y-axis.

going left to right, the line slopes upward, therefore it is a positive slope. This means that the “m” part of the equation will be a positive number. When finding the slope, we use rise over run. On your graph, if you take one point and rise 2, then run right 3, you will find another point! We have now found that the slope is 2/3x.

let’s plug this into our equation. Y=2/3x +b

lastly, we find the y-intercept. This is simply where the line intersects with the y-axis. In this case, it is positive 4. So the y-intercept is 4.

our final equation is: y=2/3x +4

i hope this is helpful.

i borrowed 500 rupess from each of my two friends 250+250 = 500 i bought a shirt of 450 that is 500-450= 50 i lost 30 rupees that is 50-30 = 20 i returned 10 rupees to my one friend and 10 rupees to the other to whom i borrowed 250 and 250 now as i gave them 10 and 10 back now i owe them 240 and 240 if we calculate 240+240= 480+30 that i lost equals to 240+240+30 = 510 when i borrowed only 500 where from these 10 rupees came..​

Answers

Do it yourself because I am not going to help you

What is the volume of the following cylinder?



150.72 in. 3
301.44 in. 3
75.36 in. 3
602.88 in. 3

Answers

Answer:

150.72 in³

Step-by-step explanation:

We know that

Radius = Diameter/2

Radius = 8/2

Radius = 4 in

Now,

Volume of cylinder = πr²h

=> 3.14 × (4)² × 3

=> 3.14 × 16 × 3

=> 150.72 in³

Answer:

The correct answer is option 150.72 in³.

Step-by-step explanation:

Given :

✧ Diameter of cylinder = 8 in.✧ Height of cylinder = 3 in.

To Find :

✧ Volume of cylinder

Using Formula :

[tex]\star{\small{\underline{\boxed{\sf{\pink{R = \dfrac{D}{2}}}}}}}[/tex]

[tex]\star{\small{\underline{\boxed{\sf{\pink{V = \pi{r}^{2}h}}}}}}[/tex]

»» r = Radius »» D = Diameter »» V = Volume »» h = height

Solution :

Firstly, finding the radius of cylinder by substituting the values in the formula :

[tex]\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = \dfrac{D}{2}}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = \dfrac{8}{2}}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = \cancel{\dfrac{8}{2}}}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Radius_{(Cylinder)} = 4 \: in}}}[/tex]

[tex]{\star{\underline{\boxed{\sf{\red{Radius_{(Cylinder)} = 4 \: in}}}}}}[/tex]

Hence, the radius of cylinder is 4 in.

[tex]\rule{300}{1.5}[/tex]

Now, finding the volume of cylinder by substituting the values in the formula :

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \pi{r}^{2}h}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times {(4)}^{2} \times 3}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times {(4 \times 4)} \times 3}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times {(16)} \times 3}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = 3.14 \times 16 \times 3}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{314}{100} \times 16 \times 3}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{314 \times 16 \times 3}{100}}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{314 \times 48}{100}}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = \dfrac{15072}{100}}}}[/tex]

[tex]\dashrightarrow{\small{\sf{Volume_{(Cylinder)} = Rs.150.72 \: {cm}^{3}}}}[/tex]

[tex]\star{\small{\underline{\boxed{\sf{\red{Volume_{(Cylinder)} = Rs.150.72 \: {cm}^{3}}}}}}}[/tex]

Hence, the volume of cylinder is 150.72 in³.

[tex]\rule{300}{1.5}[/tex]

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