Answer:
11. x = 6; y = 6.5
12. x = 2; y = 4
Step-by-step explanation:
In each figure, the hash marks on the lines indicate the parallel lines (marked with red arrows) are equally-spaced. That means the two expressions involving x are equal to each other, and the two expressions involving y are equal to each other.
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11. 2x +1 = x +7
x = 6 . . . . . . . subtract (x+1) from both sides
and
3y -8 = y +5
2y = 13 . . . . add (8-y) to both sides
y = 6.5 . . . . divide by the coefficient of y
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12. x +3 = 3/2x +2
1 = 1/2x . . . . . subtract (x+2)
2 = x . . . . . . . multiply by 2
and
2y -1 = 3y -5
4 = y . . . . . . add (5 -2y)
Answer:

Step-by-step explanation:
We are required to reduce the expression below to its simplest form

<u>STEP 1: </u>Remove the brackets
Take note that the product of same sign(- and -) will give you the addition sign.

<u>STEP 2:</u> Find the Lowest Common Multiple of 8 and 6
Lowest Common Multiple of 8 and 6 is 24
<u>STEP 3:</u> Use the LCM to Simplify
Therefore:

Answer:
a = -6
Step-by-step explanation:
-5a-9+a=15
Combine like terms
-5a+a -9 = 15
-4a -9 = 15
Add 9 to each side
-4a -9+9 = 15+9
-4a = 24
Divide by -4
-4a/-4 = 24/-4
a = -6
Answer:
2000 dollars
Step-by-step explanation:
Answer:

Step-by-step explanation:
We require 2 equations with the repeating 3 placed after the decimal point.
let x = 0.5333.. ( multiply both sides by 10 and 100 )
10x = 5.333... → (1)
100x = 53.333... → (2)
Subtract (1) from (2) tus eliminating the repeating 3
90x = 48 ( divide both sides by 90 )
x =
= 