Question

he system by substitution.
-4x + 6y = -10
2y + 4 = x
wer attempt 1 out of 5

Explanation:

Step1: Substitute x into first equation

Sustituimos \(x = 2y + 4\) en \(-4x + 6y = -10\):
\(-4(2y + 4) + 6y = -10\)

Step2: Expand and simplify

Desarrollamos y reducimos términos semejantes:
\(-8y - 16 + 6y = -10\)
\(-2y - 16 = -10\)

Step3: Solve for y

Aislamos la variable \(y\):
\(-2y = -10 + 16\)
\(-2y = 6\)
\(y = \frac{6}{-2} = -3\)

Step4: Find x value

Sustituimos \(y = -3\) en \(x = 2y + 4\):
\(x = 2(-3) + 4 = -6 + 4 = -2\)

Answer:

\(x = -2\), \(y = -3\)