Answer:
y=12
Step-by-step explanation:
12=24-y
step 1
subtract each side by 24
24-24 cancels out
12-24=-12
now we have
-y=-12
we now have to divide by -1
-1/-1=1
-12/-1=12
so we can conclude that y=12
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 10
Answer:
He received 10 dimes and 15 quarters.
Step-by-step explanation:
Dimes = $0.10
Quarters = $0.25
Variable x = dimes
Variable y = quarters
Create a pair of linear equations:
0.10x + 0.25y = 4.75
x + y = 25
Isolate any variable, using an equation of your choice:
x + y = 25
x = 25 - y
Plug in this new value of x into the other equation:
0.10(25 - y) + 0.25y = 4.75
Use the distributive property:
2.5 - 0.10y + 0.25y = 4.75
Combine like terms:
2.5 + 0.15y = 4.75
Isolate variable y:
0.15y = 2.25
y = 15
Plug in the value of y into any equation:
x + y = 25
x + 15 = 25
Isolate variable x:
x = 10
8x+4 would be the answer if you combine like terms
Answer:
Step-by-step explanation:
Given
Required
Find
Calculate 
Using tan rule
So:
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