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2x + y = 5

x + y = 4
O A. x = 1, y = 3
O B. x = 1, y = 5
OC. x = 3, y = 1
O D. x = 9, y = -5

User Chola
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2 Answers

3 votes

Answer:

A. x=1, y=3

Explanation:

you have to isolate y in the bottom equation in order to put it into the top equation. heres what i did:

we will start with the bottom equation, x+y=4. then, subtract x on both sides of the equation. this will isolate y. now, we have the equation; y=4-x.

next, we are going to substitute our new bottom equation in where y is on the top. it looks like this: 2x+(4-x)=5. then, we are going to get rid of the parenthesis, so our equation is: 2x+4-x=5. to solve this, we have to combine like terms, so we will combine the x terms: x+4=5. now, isolate the variable. to do this, we have to take away 4 from each side so we can get x alone: x=1.

so now that we have a value for x, we can use that to find y. we can actually substitute our x-value into the bottom equation to make it easier: 1+y=4. next, we have to isolate the variable, which is y. this gives us the final answer: y=3.

i hope that this explanation helped with your struggles, it took me awhile to type out and i really tried hard. stay safe and good luck with your class!

User Sam Krygsheld
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3 votes
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User Bvanderveen
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