Two numbers x and y, have a sum of 23 and a difference of 7. x is greater than y
a. write two equations in x and y
b. solve your equations to find to values of x and y

please tell me the answer and explain how you got it thanks

Answer:

Below in bold.

Step-by-step explanation:

Use the elimination method:

a.   x + y = 23

     x - y = 7

b.  Adding the 2 equations eliminates y, so we have

     2x = 30

        x = 15.

     Substitute x = 15 in equation a:

      15 + y = 23

         y = 23 - 15

        y =  8.

       Answer x = 15, y = 6.

Step-by-step explanation:

this is what you are told in the problem

x+y=23............1 (the sum)

x-y=7.................2 (the difference)

PS make sure to number your equations

in equation 1 we can take x over so that we form a new equation labelled equation 3

y=23-x...........3

sub 3 into 2

x-(23-x)=7

x-23+x=7

2x=7+23

2x=30

x=15.........4

sub 4 into 1

15+y=23

y=23-15

y=8

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x
+
1
and
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(
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)
5 x plus 1 and 5 times open paren x plus 1 close paren

(
x
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×
5
and
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×
x
+
1
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×
x
+
1

5
(
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and
5
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5 times open paren x plus 1 close paren and 5 x plus 5

(
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and
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open paren x plus 1 close paren times 5and 5 plus open paren x times 1 close paren