Question

5y = x and 2x -3y = 7 solve using elimination

Answer 1

2x+5y=7
3x-2y=1

To make the y coefficients subtract out, multiply both sides of the first equation times 2, and the second equation times 5:

2(2x+5y=7)
5(3x-2y=1)

4x+10y=14
15x-10y=5

Add these equations together:
19x=19
x=1

Answer 2

Substitute x=1 into the first equation:
2x+5y=7
2*1+5y=7
2+5y=7
5y=5
y=1

Substitute both values back into the second equation to check:
3x-2y=1
3*1-2*1=1