Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

7) y = -5\ 5x + 4y = -20

Question

  1. y = -5\

5x + 4y = -20

Explanation:

Step1: Substitute \( y = -5 \) into the second equation

We have the equation \( 5x + 4y = -20 \). Substitute \( y = -5 \) into it: \( 5x + 4\times(-5) = -20 \)

Step2: Simplify and solve for \( x \)

Simplify the left - hand side: \( 5x-20=-20 \)
Add 20 to both sides of the equation: \( 5x-20 + 20=-20 + 20 \), which gives \( 5x=0 \)
Divide both sides by 5: \( x=\frac{0}{5}=0 \)

Answer:

The solution to the system of equations is \( x = 0 \), \( y=-5 \)