Can you please check these for me. I just want to make sure I'm doing this right. Thanks.
1) Solve the following system of equations:
x + y = 6
y = 2x
answer: (2, 4)
2) Solve the following systems of equations:
2x - 3y = -13
y = 2x + 7
answer: (-2, 3)
3) Solve the following
x = 3y + 7
x = 2y - 1
answer: (-17, -8)
4) Solve
x + y = 6
x - y = -2
answer: (2, 4)
5) Solve
3x + 2y = 14
3x - 2y = 10
answer: (4, 1)
6) Solve
3x - 7y = 13
6x + 5y = 7
answer: (2, 1)
7) Solve
2x + 3y = -16
5x - 10y = 20
answer: {-20/7, -24/7}
8) Solve
5x = 6y + 40
2y = 8 - 3x
answer: {32/7, -20/7}
9) Solve
x - y + 3z = 8
3x + y = -2z = -2
2x + 4y + z = 0
answer: {1, -1, 2}
10) Solve
2x + 3y = 7z = 13
3x + 2y - 5z = -22
5x + 7y - 3z = -28
answer: (-1, -2, 3)
11) Solve
x + z = 3
z + 2y - z = 1
2x - y + z - 3
answer: (1, 1, 2)
12) Solve
x + 3y + 5z = 20
y - 4z = -16
3x - 2y + 9z = 36
answer: (0, 0, 4)
13) Solve
x + y = 4
x + z = 4
y + z = 4
answer: (2, 2, 2)
14) Solve
x - 3z = -5
2x - y + 2z = 16
7x - 3y - 5z = 19
answer: (4, -2, 3)