Question

Y=-2x+3
8x+4y=12

1.(1,1)
2.(0,0)
3.infinity
4.no solution

Answer 1

Given:

The given two equations are $y=-2x+3$ and $8x+4y=12$

We need to determine the solutions of the system of equations.

Solution:

Let us use the substitution method to determine the solution of the given system of equations.

Hence, substituting $y=-2x+3$ in the equation $8x+4y=12$

Thus, we have;

$8x+4(-2x+3)=12$

     $8x-8x+12=12$

                     $12=12$

Since, both sides of the equation are the same, then the system of equations have infinitely many solutions.

Hence, Option 3 is the correct answer.