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How to solve y=-x+3 y=2x-1

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\left \{ {{y=-x+3} \atop {y=2x-1}} \right. \\\\ equal\ both\ equations\\\\ -x+3=2x-1\ \ \ | subtract\ 2x\\\\ -3x+3=-1\ \ \ | subtract\ 3\\\\ -3x=-4\ \ \ | divide\ by\ -3\\\\ x=(4)/(3)\\\\ y=-x+3=-(4)/(3)+3=-1(1)/(3)+3=1(2)/(3)
User Iraklii
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Solve for x: 2x - y = 3 x + y = 3?
? can someone explain this for me plz
8 Answers • Mathematics

Best Answer (Chosen by Voter)
Hi,

For this question, we are given the following system of equations:

2x - y = 3
x + y = 3

Let's make the first equation in the form of y = mx + b as shown below:

y = 2x - 3
x + y = 3

Now, substitute the first equation into the second to get:

x + 2x - 3 = 3

Combine similar terms to get:

3x = 6

x = 2

We now know that x = 2 and can plug this value into one of the given equations to get:

2 + y = 3

y = 1

FINAL ANSWER: x = 2 ; y = 1

I hope that helps you out!
User Ananda Pramono
by
7.8k points

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