y=x+2 -3x + 3y = 6 How many solutions can be found for the system of linear equations represented on the graph? Question y=x+2 -3x + 3y = 6 How many solutions can be found for the system of linear equations represented on the graph? in progress 0 Math Ayla 1 month 2021-10-20T20:51:35+00:00 2021-10-20T20:51:35+00:00 1 Answer 0 views 0

## Answers ( )

## The system of equations has infinitely many solutions

Solution:Given system of equations are:y = x + 2 —— eqn 1

-3x + 3y = 6 ——– eqn 2

Solve the system of equations by substitution method

Substitute eqn 1 in eqn 2

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

-3x + 3x + 6 = 6

-3x + 3x = 6 – 6

0 = 0

If we end up with the same term on both sides of the equal sign, then we have infinite solutions

Thus the system of equations has infinitely many solutions