Question

How many solutions does the system of equations below have?
x − 4y = 6
2x − 8y = 12

Answer 1

One solution

Explanation:

x - 4y = 6

-4y = 6 - x

-4y/-4 = 6/-4 -x/-4

y = -6/4 + -x/4

2x − 8y = 12

-8y = 12 - 2x

-8y/-8 = 12/-8 - 2x/-8

y = -12/8 + 2x/8

Graph "y = -6/4 + -x/4" and "y = -12/8 + 2x/8" to find how many solutions these lines have.

As shown below, it has only one solution.