Question

Use the Substitution Method to solve the following system of equations.
2x + y = 3
-3x + 4y = 1

(1, 1)

(-1, -1)

(1, -1)

(-1, 1)

Answer 1

K so we will seperate y in the first equation.

2x+y=3
-2x -2x
----------
y=-2x+3

Now all we do is put this as our y value in our 2nd equation

-3x+4(-2x+3)=1
-3x-8x+12=1 [We add like terms]
-11x+12=1 [Subtract 12 on both sides]
-11x=-11 [Divide both sides by -11]
x=1

Now we can put into our 1st equation and solve-

2(1)+y=3
2+y=3 [Subtract both sides by 2]
y=1

This means our answer is (1,1)

-Hope that helps :)

Answer 2

It does sir..! Thank you ♥

Answer 3

No problem :)