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3 years ago

Substitution 3x-2y=2, 5x-5y=10

Mathematics

1 answer:

Phoenix [80]3 years ago

8 0

Answer:

x=-2 and y = -4

Step-by-step explanation:

3x-2y=2

Solve for x:

3x=2+2y (adding 2y both sides)

x= (2+2y)/3 (dividing both sides by 3)

Now, substitute x in the second equation:

But first, Notice that second equation can be simplified!

5(x-y) =10 (take 5 out since they're common!)

x-y=10/5 (Divide both sides by 5)

x-y=2

Now, substitute!

[(2+2y)/3] -y =2

(2+2y-3y)/3 =2 (Make common denominator)

2+2y-3y = 2times3 (multiply both sides by 3)

2-y = 6 (Simplify!)

-y = 6-2 (Subtract both sides by 2)

y= -4 (Divide negative both sides)

Now, that you know your y value find x:

Remember x was equal to: (2+2y)/3

Simply, substitute y as -4 and solve for x!

x = 2+2(-4) /3

x = 2-8 / 3

x= -6/3

x= -2

Hope this helps!

Mark brainliest if you think I helped! Would really appreciate!

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Substitution 3x-2y=2, 5x-5y=10​

Substitution 3x-2y=2, 5x-5y=10