Question

Which system of equations below has infinitely many solutions?

A y = 3x + 4 and 3x + 3y = 4
B 2x + 2y = 10 and y = -x + 5
C y = 4x + 5 and y = 4x + 8
D y = 3x - 2 and y = -2x + 3
Please help

Answer 1

The answer is B

Explanation:

2x+2y =10 and y= -x +5

These are not in the same form so thats the first step

2x+2y=10

we minus 2x from both side which turns into

2y=-2x+10 (the variable always comes first)

Secon step is to divide 2 from the y to everything so 2y divided by 2 = y

-2 divided by 2 is -x and 2 divided by 10 is 5 and now you have the same equations which leads to infinite

y=-x+5