Question

Y=x+2

-3x + 3y = 6
How many solutions can be found for the system of linear equations represented on the graph?

Answer 1

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