Answer:
An important property of equations is one that states that you can add the same quantity to both sides of an equation and still maintain an equivalent equation. If you think of an equation as being like a balance scale, the quantities on each side of the equation are equal, or balanced.
Step-by-step explanation:
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Answer:
x = 3 and y = 2
or
(3,2)
Step-by-step explanation:
first equation (LCM = 3 x 4 x 5 = 60)
(x+2)/5 - (9-x)/3 = (y - 6)/4
12(x+2) - 20(9-x) = 15(y - 6)
12x + 24 - 180 + 20x = 15y - 90
32x - 15y = -90 - 24 + 180
32x - 15y = 66
second equation:
8(x + 2) - (2x + y) = 2(x + 13)
8x + 16 - 2x - y = 2x + 26
6x - y + 16 = 2x + 26
4x - y = 10
Now you have 2 equations:
4x - y = 10 ---> y = 4x - 10
32x - 15y = 66
Substitute y = 4x - 10 into 32x - 15y = 66
32x - 15(4x - 10) = 66
32x - 60x + 150 = 66
-28x = -84
x = 3
y = 4(3) - 10
y = 12 - 10
y = 2
Solutions: x = 3 and y = 2
If you would like to know how many pounds of pasta the restaurant will need, you can calculate this using the following steps:
3 pounds of pasta ... 14 people
x pounds of pasta = ? ... 56 people
3 * 56 = 14 * x /14
x = 3 * 56 / 14
x = 12 pounds of pasta
The correct result would be 12 pounds of pasta.
Could you please provide the equation and the rest of the question?
