To solve a one-step equation, you must _____ the variable.
1 answer:
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Answer:
The amount they charged to wash a car is <u>$6</u> and vacuum a car is <u>$2</u>.
Step-by-step explanation:
Given:
Trisha and Byron are washing and vacuuming cars to raise money for a class trip.
Trisha raised $38 washington 5 cars and vacuuming 4 cars.
Byron raises $28 by washing 4 cars and vacuuming 2 cars.
Now, to find the amount they charged to wash a car and vacuum a car.
Let the amount charged for washing a car be
And the amount charged for vacuuming a car be
So, the total amount Trisha raised:
.......(1)
And, the total amount Byron raised:
Now, to get the amount they charged to wash a car and vacuum a car we use elimination method:
<em>Dividing both sides by 3 we get:</em>
<u>Amount charged to wash a car = $6.</u>
Now, putting the value of in equation (1) we get:
<em>Subtracting both sides by 30 we get:</em>
<em>Dividing both sides by 4 we get:</em>
<u>Amount charged to vacuum a car = $2.</u>
Therefore, the amount they charged to wash a car is $6 and vacuum a car is $2.
Answer:
see explanation
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 2 is in this form with slope m = 3
• Parallel lines have equal slope
• The slopes of perpendicular lines are negative reciprocals of each other
A
y = - x - 8 has slope m = -
3 and - are negative reciprocals
This line is perpendicular to y = 3x + 2
B
y = 3x - 10 has slope m = 3
This line is parallel to y = 3x + 2
C
y = 2x + 4 has slope m = 2
This line is neither parallel nor perpendicular to y = 3x + 2