Question

-2x+2y=6 and 7x+4y=23

Answer 1

Let's solve this problem step-by-step:

Let's set:

`-2x + 2y = 6 -- equation 1\\7x+4y=23 -- equation 2`

(equation1) * 2

`-4x+4y=12--equation3`

(equation 2) - (equation 3)

`11x = 35\\x= (11)/(11)--equation4\\x=1`

Plug (equation4)'s value of 'x' into (equation1)

`-2(1} )+2y=6\\-2+2y =6 \\2y = 6+2 =8 \\y =4`

Thus x= 1 and y = 4

Let's check:

`-2(1 )+2(4)=6\\2 +4 =6\\6=6\\ \\7(1)+4(4) )=23\\7+16=23\\ 23 =23\\`

Answer: x = 1 and y= 4

Hope that helps!