Question

solve the system by substitution.
$y = x$
$9x - 2y = -49$
answer attempt 1 out of 2
(□,□) submit answer

Explanation:

Step1: Substitute \( y = x \) into the second equation

We have the second equation \( 9x - 2y = -49 \). Since \( y = x \), we replace \( y \) with \( x \) in this equation. So we get \( 9x - 2x = -49 \).

Step2: Simplify and solve for \( x \)

Simplify the left - hand side of the equation \( 9x - 2x=-49 \). Combining like terms, \( 9x-2x = 7x \), so the equation becomes \( 7x=-49 \). Divide both sides of the equation by 7: \( x=\frac{-49}{7}=-7 \).

Step3: Find the value of \( y \)

Since \( y = x \) and we found that \( x=-7 \), then \( y=-7 \).

Answer:

\((-7, -7)\)