2B.1 Please refer to the attached image!

Question

Answer 1

x=1 y=1 Use elimination (hint: multiply first equation by 3 and then add them up)

Answer 2

Here we have two equations and two unknowns. The best way to solve for a system of equations like this is to find a way to isolate one variable in one equation and in turn plug that into your second equation. Here, we see that y can easily be isolated in the first equation:

3x + y = 4

1. to isolate y we just subtract 2x from both sides, resulting in y = 4 - 3x

We can now plug this value of y into our second equation:

1. 4x - 3*(4-3x) = 1
2. distribute your -3 to all terms in the parenthesis:
3. 4x - 12 + 9x = 1
4. Move all x's to the left and all integers to the right: 13x = 13
5. divide both sides by 13 and obtain x = 1

We can now plug this back into our formula to solve for y

1. y = 4 - 3x = 4 - 3*1 = 4-3 = 1
2. y = 1

Answer: B. x =1, y=1