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Solve 2x-3y=5 x=4y+5 using the substitution method

Solve 2x-3y=5 x=4y+5 using the substitution method-example-1
User Mmccabe
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2 Answers

4 votes
We’ve already been given a value of x so we can use that the find the value of y first.

Substitute x=4y+5 into the first equation
2(4y+5)-3y=5
8y+10-3y=5
Subtract both sides by 10
5y=-5
Divide both sides by 5
y=-1

Now that we have a value of y we can put that value into any equation and we will get the value of x

I will do it to both equations to prove it


2x-3(-1)=5
2x+3=5
Subtract both sides by 3
2x=2
Divide both sides by 2
x=1

x=4(-1)+5
x=1

So your final answer is x=1 and y=-1
User Jbarat
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8.3k points
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the answer is -1,1 ------ y is -1 and x is 1 because when you substitute for x , which is 4y+5 in the equation 2x-3y=5, you get y as -1. They all you have to do is use y in the equation and figure out what x is as well while solving...:):)
User SimpleDesign
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