Question

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 1

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

Answer 2

Below in bold.

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.