Question

Solve the system of equations using substitution.

y = −2x + 1

4x + 2y = −2

A) No solution
B) Infinity many solutions
C) (0,-4)
D) (-4,0)

Answer 1

For this case we have the following system of equations:

`y = -2x + 1\\4x + 2y = -2`

To solve, we follow the steps below:

We substitute the first equation in the second one:

`4x + 2 (-2x + 1) = - 2`

We apply distributive property to the terms within parentheses:

`4x-4x + 2 = -2\\2 = -2`

Equality is not fulfilled. For any value of "x" equality will never be true.

Thus, the system has no solution.

Answer:

Option A