Question

use substitution to solve the system of equations.
$3x + y = -5$
$6x + 2y = 10$
select choice

Explanation:

Step1: Solve for y from first equation

From \(3x + y = -5\), we get \(y = -5 - 3x\).

Step2: Substitute y into second equation

Substitute \(y = -5 - 3x\) into \(6x + 2y = 10\):
\(6x + 2(-5 - 3x) = 10\)
Simplify: \(6x - 10 - 6x = 10\)
Which becomes \(-10 = 10\), a contradiction.

Answer:

The system of equations has no solution.