What is the solution of each system of equations? Show your work. -> b. 3x-4y=11 and 3x+2y=2

Question

help please. Im lost and i need answers quickly

Answer 1

Hello Paige,

3x-4y=11

3x+2y=2

You can eliminate the x variable by doing (1st equation) minus (2nd equation) which will leave you with:

-6y=9

Divide both sides by -6 and you get

y=-9/6 = -3/2

You can now substitute the value of y into any of the 2 equations. Let's do the 2nd one:

3x+2(-3/2)=2 --> 3x -3 = 2 --> 3x = 5

Divide both sides by 3 and you get

x=5/3

So the solution to the system of equations is

x= 5/3 and y =-3/2

Cheers.