Question

-8x - 8y = 0 and -5x - 4y = 5. Solve the system of equations

Answer 1

Answer:

x=-5 and y=5

Step-by-step explanation:

You can change both of the equations by:

-1(-8x-8y)=-1(0)

2(-5x-4y)=2(5)

Then they become:

8x+8y=0

-10x-8y=10

Add both equations onto one another and you get:

-2x=10 with x=-5

Plug back x=-5 into either equation (original or changed)

-8(-5)-8y=0

40-8y=0

40=8y

y=5

Answer 2

Answer:

x=-5, y=5 or (-5,5)

Step-by-step explanation:

We can do elimination with this

this means we should first multiply -5x-4y=5  by 2

this would make it -10x-8y=10

we can now subtract this from the original equation

-8x-8y=0 - (-10x-8y=10)

the ys would cancel out

so this would equal

2x=-10

x=-5

now we can plug this back into the equation to find y

-8(-5)-8y=0

40-8y=0

-8y=-40

y=5