Question

Solve the pair of equations by using the substitution method.3x - 5y = -1
x - y = 1

Answer 1

Hi ,

Given ,

3x - 5y = -1 ----( 1 )

x - y = 1

x = 1 + y ----( 2 )

Substitute ( 2 ) in equation ( 1 ) , we get

3( 1 + y ) - 5y = -1

3 + 3y - 5y = -1

-2y = -1 - 3

-2y = -4

y = ( -4 )/( -2 )

y = 2

put y = 2 in equation ( 2 ) , we get

x = 2 + 1 = 3

Therefore ,

x = 3 , y = 2

I hope this helps you.

: )