Question

What number needs to be in the blank for this system to have an infinite number of solutions?

y = -3x + 1
6x + 2y = ?

Answer 1

The answer is: a = 2

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Answer 2

? = 2

Explanation:

Given:

y = -3x + 1

6x + 2y = ?

Slope-intercept form:

6x + 2y = a

y = a/2 - 3x

y = -3x + a/2

or y = -3x + 1/2a

Go back to given equations:

y = -3x + 1

y = -3x + 1/2a

y = y

-3x + 1 = -3x + 1/2a

1 = 1/2a

a = 2