Question

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solve the system by substitution.
$3x + y = 19$
$-6x - 5 = y$
answer attempt 1 out of 2
(□,□) submit answer

Explanation:

Step1: Substitute \( y \) into first equation

We know \( y = -6x - 5 \), substitute into \( 3x + y = 19 \):
\( 3x + (-6x - 5) = 19 \)

Step2: Simplify and solve for \( x \)

Simplify the left side: \( 3x - 6x - 5 = 19 \)
Combine like terms: \( -3x - 5 = 19 \)
Add 5 to both sides: \( -3x = 19 + 5 \)
\( -3x = 24 \)
Divide by -3: \( x = \frac{24}{-3} = -8 \)

Step3: Substitute \( x \) to find \( y \)

Substitute \( x = -8 \) into \( y = -6x - 5 \):
\( y = -6(-8) - 5 = 48 - 5 = 43 \)

Answer:

\((-8, 43)\)