Question

solve the system by substitution.

y = 3x
y = -4x - 49

Explanation:

Step1: Substitute \( y = 3x \) into \( y=-4x - 49 \)

Since both equations are solved for \( y \), we can set them equal to each other. So we substitute \( 3x \) for \( y \) in the second equation: \( 3x=-4x - 49 \)

Step2: Solve for \( x \)

Add \( 4x \) to both sides of the equation: \( 3x + 4x=-4x+4x - 49 \), which simplifies to \( 7x=-49 \). Then divide both sides by 7: \( x=\frac{-49}{7}=-7 \)

Step3: Substitute \( x = -7 \) into \( y = 3x \) to find \( y \)

Substitute \( x=-7 \) into \( y = 3x \), we get \( y = 3\times(-7)=-21 \)

Answer:

The solution to the system is \( x=-7 \) and \( y = -21 \), or as an ordered pair \( (-7,-21) \)