The first mechanic worked for 10 hours and the second mechanic worked for 15 hours.
Step-by-step explanation:
Given,
Charges of first mechanic = $95 per hour
Charges of second mechanic = $115 per hour
Total hours = 25
Total amount charged = $2675
Let,
The number of hours worked by first mechanic = x
The number of hours worked by second mechanic = y
According to given statement;
x+y=25 Eqn 1
95x+115y=2675 Eqn 2
Multiplying Eqn 1 by 95
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 20
Putting y=15 in Eqn 1
The first mechanic worked for 10 hours and the second mechanic worked for 15 hours.
Keywords: linear equation, elimination method
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X = 180 - (y+z)
x = 180 (60+80)
x = 180 -140
x = 40
Answer:
p = 3
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
p-(3000*(1/1000))=0
Step by step solution :
Step 1 :
1
Simplify ————
1000
Equation at the end of step 1 :
1
p - (3000 • ————) = 0
1000
Step 2 :
Equation at the end of step 2 :
p - 3 = 0
Step 3 :
Solving a Single Variable Equation :
3.1 Solve : p-3 = 0
Add 3 to both sides of the equation :
p = 3
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Answer:
x =5
Step-by-step explanation:
6 + 8 ( x - 1) = 2 (3x + 4)
Distribute
6+8x-8 = 6x+8
Combine like terms
8x -2 = 6x +8
Subtract 6x from each side
8x-6x -2 = 6x -6x+8
2x -2 =8
Add 2 to each side
2x-2 +2 = 8+2
2x = 10
2x/2 = 10/2
x =5