For x = ay - bz:
Add bz to both sides:
ay = x + bz
Divide a on both sides:
y = (x + bz)/a
For xy + yz = 10:
Distribute y from the left side:
y * (x + z) = 10
Divide by x + z:
y = 10/(x + z)
For (ab - ac)/z = x:
Multiply by z on both sides:
ab - ac = xz
Take out a from the left side:
a * (b - c) = xz
Divide by b - c on both sides:
a = xz/(b - c)
The solution of system is x=14, y=37
Step-by-step explanation:
Given equations are:
-4y = -64 - 6x => 6x-4y=-64 Eqn 1
4x - 4y = -36 Eqn 2
Subtracting equation 2 from eqn 1

The solution of system is x=14, y=37
Keywords: Linear equation, Elimination method
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Answer: 9.5 hours
In order to solve this, you must divide his total (80.75) by his hourly wage (8.50) When you do that, you get 9.5, so he worked 9.5 hours
Step-by-step explanation:
Answer:
If two planes intersect, then their intersection is a line. A line contains at least two points. If two lines intersect, then exactly one plane contains both lines. If a point lies outside a line, then exactly one plane contains both the line and the point.
Answer:
A = 58
B =:25
Step-by-step explanation:
C = A + B
83 = 9x + 4 + 4x + 1
83 = 13x + 5
13x = 78
x = 78/13
x = 6
A = 9x + 4 = 9 x 6 + 4 = 58
B = 4x + 1 = 4 x 6 + 1 = 25