Question

For what values of x and y ( x-2 , y-3) and (2x-6 , 3 ) are   equal to each other.​

Answer 1

x = 4; y = 6

Explanation:

Set the x-values equal to each other and the y-values equal to each other.

The first value in parentheses is an x-value, and the second value in parentheses is a y-value.

x - 2 = 2x - 6

Subtract x from both sides

-2 = x - 6

Add 6 to both sides to get x by itself on the right.

-2 + 6 = x

4 = x

y - 3 = 3

Add 3 to both sides

y = 6

Check answers for the x-value:

4 - 2 = 2(4) - 6

2 = 8 - 6

2 = 2

Check answers for the y-value:

6 - 3 = 3

3 = 3

Answer 2

y is given already

`\\ \rm\Rrightarrow 2x-6=2`

`\\ \rm\Rrightarrow 2x=2+6`

`\\ \rm\Rrightarrow 2x=8`

`\\ \rm\Rrightarrow x=(8)/(2)`

`\\ \rm\Rrightarrow x=4`