Question

Can someone please help me, I don't understand how to solve this. I'm supposed to : Solve each system by elimination -10x - y=5

-9x + 2y= -10

Answer 1

To solve the system by elimination, the first equation is multiplied by 2, and then the two equations are added together to eliminate y, yielding the solution x = 0, y = -5.

Step-by-step explanation:

To solve the system by elimination, we want to eliminate one variable so we can solve for the other. We have two equations:

• -10x - y = 5
• -9x + 2y = -10

First, we'll multiply the first equation by 2 so that the coefficient of y in both equations becomes the same (but with opposite signs):

• -20x - 2y = 10
• -9x + 2y = -10

Next, we add the two equations together to eliminate y:

• -20x - 2y + (-9x + 2y) = 10 - 10
• -29x = 0

Dividing both sides by -29 gives us x = 0. Now we can substitute x back into one of the original equations to find y:

• -10(0) - y = 5
• -y = 5

Multiplying both sides by -1 gives us y = -5. Therefore, the solution to the system is x = 0, y = -5.