Question

Is the following systems a no solution or one solution or many solutions? -8x + 2y = -16 and 4x - y = 10

Answer 1

No solution

Step-by-step explanation

We have the system of equations given:

-8x + 2y = -16

4x - y = 10

Let us attempt to solve the system of equations.

From the second equation, make y the subject:

y = 4x - 10

Replace y in the first equation with that:

-8x + 2(4x - 10) = -16

-8x + 8x - 20 = -16

-20 = -16

As we can see, the two sides of the equation are not equal.

This implies that the system of equations has no solution.