Answer :
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!
[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]