Question

Which value, when placed in the box, would result in a system of equations with infinitely many solutions?

y= -2x + 4

6x + 3y = blank

-12

-4

4

12


sorry about the computer quality

Answer 1

12

Explanation:

y = -2x + 4 has to completely equal 6x + 3y = 12

6x + 3y = 12 isolate the y value, first subtract 6x on both sides

3y = -6x + 12 divide both sides by 3

y = -2x + 4

now -2x + 4 = -2x + 4 so there are an infinite amount of solutions