Question

Solve the system of equations using substitution.

y = −2x + 1
4x + 2y = −3


A. Infinitely many solutions
B. No solution
C. (0, −5)
D. (−5, 0)

Answer 1

For this case we have the following system of equations:

`y = -2x + 1\\4x + 2y = -3`

To solve, we substitute the first equation in the second one:

`4x + 2 (-2x + 1) = - 3\\4x-4x + 2 = -3\\2 = -3`

The equality is not fulfilled, therefore the system has no solution.

Answer:

Option B

The system has no solution