Question

How many solutions does the system of equations below have?

x − 4y = 6
2x − 8y = 12

Answer 1

x = 4y + 6

Explanation:

x-4y=6

2x-8y=12

multiply 2 on both side in equation 1, and multiple - on both side in equation 2:

2x-4x=12

-2x+8y=-12

so the equation becomes:

4y=0

y=0

put the value of y in both of the equations:

x=6 equation 1

x=6 equation 2

so,

x = x

then,

x = 4y + 6 equation 1

-2 ( x - 4y ) = -12

x - 4y = -12/ -2

x - 4y = 6

x = 4y + 6

so the ans is:

x = 4y +6