Question

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

y = -2x + 4
6x + 3y =

Answer 1

Answer:12

Explanation:

Answer 2

The value is 12

Explanation:

we have

`y=-2x+4`

Convert to standard form

`2x+y=4` ----> equation A

Let

a ----> the missing value

`6x+3y=a` ----> equation B

we know that

If the system of equations A and B has infinitely solutions, then equation A and equation B are identical

Multiply equation A by 3 both sides

`3(2x+y)=3(4)`

`6x+3y=12` ----> new equation A

Equate new equation A and equation B

`a=12`

therefore

The value is 12