Question

. Solve, using linear combination.

4x + y = 5
3x + y = 3

Answer 1

4x + y = 5
3x + y = 3

Isolate one of the variables in one of the equations. I'm going to do the first one for y.
Subtract 4x from each side. You're left with y=5-4x

Substitute 5-4x in the place of y in the second equation.
3x+(5-4x)=3
Combine like terms.
-x+5=3
3-5=-2
-2/-1=2
x=2
Check:
3(2)+(5-4(2))=3
6+5-8=3
11-8=3
3=3

So now that you know what x is, you can solve for y. You already know that y=5-4x
y=5-4(2)
y=5-8
y=-3

Now check in your equations. x should be 2, y should be -3.

4x + y = 5
4(2)+(-3)=5
8-3=5, Check

3x + y = 3
3(2)+(-3)=3
6-3=3 , Check

Answer 2

Ah I just saw where you asked for it to be solved via linear combination. Idk what the method I used is called and I'm not sure how it differs from linear combination.

Answer 3

Well thank you for all of that!! but the answer options are:
(0, –3)
(0, 5)
(2, –3)
(–3, 7)

Answer 4

?? :)

Answer 5

Okay, then it's in (x,y) format. I gave you the answers. x=2, y=-3.
So (2,-3) is your answer.