Answer:
260
Step-by-step explanation:
Answer:
No solution
Step-by-step explanation:
The given equations are :
9x-3y=-6
3x-y=2.....(1)
5y=15x+10
5y-15x=10
or
y-3x=2 .....(2)
Equations (1) and (2) shows that the lines are parallel. We know that for parallel lines, there is no solution.
Answer:
Simplifying
6x + -3 = 21 + -2x
Reorder the terms:
-3 + 6x = 21 + -2x
Solving
-3 + 6x = 21 + -2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2x' to each side of the equation.
-3 + 6x + 2x = 21 + -2x + 2x
Combine like terms: 6x + 2x = 8x
-3 + 8x = 21 + -2x + 2x
Combine like terms: -2x + 2x = 0
-3 + 8x = 21 + 0
-3 + 8x = 21
Add '3' to each side of the equation.
-3 + 3 + 8x = 21 + 3
Combine like terms: -3 + 3 = 0
0 + 8x = 21 + 3
8x = 21 + 3
Combine like terms: 21 + 3 = 24
8x = 24
Divide each side by '8'.
x = 3
Simplifying
x = 3
Step-by-step explanation:
Answer:
when x = 7, y = 21
Step-by-step explanation:
This is about direct variation. If y varies directly with x, then there is a constant factor of variation, k. The constant of variation can be found by ʸ⁄ₓ
k = ʸ⁄ₓ
k = ¹⁵⁄₅ = 3
Now that we have found k, we simply multiply x by it to find y (this is because y is directly proportional to x). We plug in our x = 7 to find y at this point.
y = 3x
y = 3(7)
y = 21
Answer:
13. y = -4x + 6
14. y = 1/2x - 2
Step-by-step explanation:
You want to put y on one side and the rest of the numbers on the other side. You can do this by adding or subtracting or dividing the numbers/variables on the left.
13.
4x + y = 6
subtract both sides by 4x
y = 6 - 4x
or rewritten as:
y = -4x + 6
14.
-3x + 6y = -12
add both sides by 3x
6y = 3x - 12
divide both sides by 6
y = 1/2 x - 2
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