Question

Identify the solution to the system of equations below.

{6x+3y=9
y=−2x+3

Responses

(0,0)

no solution

infinitely many solutions

(9,9)

Answer 1

Infinite solutions

Explanation:

Since we know y is equal to -2x+3 we can fill it into the first equation in place of y to find x

`6x+3(-2x+3)=9`

`6x-6x+9=9`

`0+9=9`

Subtract 9 from both sides

`0=0`

Since we didn't find a value for x but 0 does indeed equal 0 means that there are infinite solutions

Hope this helps