Question

Solve the system.

5x+5y=−40
−10x+2y=32
​
The system has no solution. The system has one solution. The solution set is The system has infinitely many solutions. The solution set is is any real number }.

Answer 1

There is one solution (-4,-4)

Explanation:

5x + 5 y = -40 → multiply by 2 10x + 10y = -80

-10x + 2y = 32 -10x + 2y = 32

12y = -48 Divide by 12

12y = -48

y = -4

To solve for x, substitute -4 for y into either of the two original equations.

5x + 5y = -40

5x + 5(-4) = -40

5x - 20 = -40 Add 20 to both sides

5x = -20 Divide both sides by 5

x = -4

(-4,-4)

Helping in the name of Jesus.