Question

Please help me with these 2 problems

Answer 1

Hello!

Elimination is where you add or subtract two equations to get rid of a variable

(5x + 5y = -5) + (5x - 5y = 25)

This gives us 10x = 20

Divide 10 from both sides

x = 2

We can put x in to one of the original equations to get y

5(2) + 5y = -5

Combine like terms

10 + 5y = -5

Subtract 10 from both sides

5y = -15

divide both sides by 5

y = -3

The answer to the first one is (2, -3)

For the second one we can subtract the equations

(2x - 3y = 0) - 2x + y = 8

This gives us 4y = 8

Divide by 4 on both sides

y = 2

We can put y into one of the original equations to get x

2x + 2 = 8

subtact 2 from both sides

2x = 6

Divide both sides by 2

x = 3

The answer to the second one is (3,2)

Hope this helps!