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)

Question

asked May 28, 2020 228k views

1 Answer

Lane Aasen · Answer 1 · 2020-06-02T06:44:00+0000

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