Question

solve the system of linear equations using the substitution method.
\\(\

$$\begin{cases} y = -2x - 7 \\\\ 7x + 3y = 3 \\end{cases}$$

\\)
enter your answer as an ordered pair.

Explanation:

Step1: Substitute \( y = -2x - 7 \) into \( 7x + 3y = 3 \)

Substitute \( y \) in the second equation: \( 7x + 3(-2x - 7) = 3 \)

Step2: Simplify and solve for \( x \)

Expand the equation: \( 7x - 6x - 21 = 3 \)
Combine like terms: \( x - 21 = 3 \)
Add 21 to both sides: \( x = 3 + 21 = 24 \)

Step3: Substitute \( x = 24 \) back into \( y = -2x - 7 \)

Calculate \( y \): \( y = -2(24) - 7 = -48 - 7 = -55 \)

Answer:

\((24, -55)\)