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.