Question

WILL FAN AND MEDAL!!!!
What is the value of the x variable in the solution to the following system of equations?

4x + 8y = 8
x + 2y = 2

0

2

There is no x value as there is no solution to this system

x can be any value as there are infinitely many solutions to this system

Answer 1

x is 0 and y is 1

Answer 2

solve the second equation for x

x + 2y = 2

x = 2 - 2y

Answer 3

then plug this into the first equation

4x + 8y = 8

4(2 - 2y) + 8y = 8

8 - 8y + 8y = 8

8 + 0y = 8

8 + 0 = 8

8 = 8

since that equation is always true, this means that there are infinitely many solutions

Answer 4

Okay I just wanted to double check. Thanks!

Answer 5

yw