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

Sagot :


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!
luana
[tex] \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=\frac{4}{3}\\\\ y=-x+3=-\frac{4}{3}+3=-1\frac{1}{3}+3=1\frac{2}{3}[/tex]
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