Answer:
1.
-3x + 8y = -5
6x + 2y = -8
Set the equations to a common variable.
-3x + 8y = -5 → 8y = 3x - 5 → y = 3/8x - 5/8
6x + 2y = -8 → 2y = -6x - 8 → y = -3x - 4
Set the equations equal to each other.
3/8x - 5/8 = -3x - 4
Combine like terms.
3x + 3/8x = -4 + 5/8
3.375x = -3.375
Divide by 3.375
x = -1
Plug x back in to find y.
-3x + 8y = -5
-3(-1) + 8y = -5
3 + 8y = -5
8y = -8
y = -1
answer: (-1, -1)
2.
3x + 2y = -16
-3x - 8y = 46
Set the equations to a common variable.
3x + 2y = -16 → 2y = -3x - 16 → y = -3/2x - 8
-3x - 8y = 46 → -8y = 3x + 46 → y = -3/8x - 23/4
Set the equations equal to each other.
-3/2x - 8 = -3/8x - 23/4
Combine like terms.
-9/8x = 9/4
or
-1.125x = 2.25
Divide by -1.125
x = -2
Plug x back in to find y.
3(-2) + 2y = -16
-6 + 2y = -16
2y = -10
y = -5
answer: (-2, -5)
Step-by-step explanation:
2 + x + 2x = 14
3x + 2 = 14 (combine like terms)
3x = 12 (subtract 2 from both sides)
Hence the answer is 3x = 12. (B)
-3/5 because you multiply 9/10 by -2/3
Answer:
z=(-6)
Step-by-step explanation:
(2/3)*z=(-4)
2*z=3*(-4) --> We move the 3 from the left to the right part of the equation. It was dividing, so we move it multiplying.
2*z=(-12)
z=(-12)/2 --> It's the inverse case of before. 2 was multiplying, so we move it to the right by dividing it.
z=(-6)
The answer is the letter c.
