remember that you can do anything to an equation as long as you do it to both sides
remember the distributive property: a(b+c)=ab+ac
also commutative property of addition: a+b=b+a
so
6(6x-2)+8(1-5x)=2x
distribute
6(6x-2)=6(6x)+6(-2)=36x-12
8(1-5x)=8(1)+8(-5x)=8-40x
36x-12+8-40x=2x
group like terms
36x-40x-12+8=2x
add like terms
-4x-4=2x
add 4x to both sides to get x by itself
4x-4x-4=2x+4x
0-4=6x
-4=6x
divide both sides by 6
-4/6=(6x)/6
-2/3=x(6/6)
-2/3=x(1)
-2/3=x
x=-2/3
the solution is x=-2/3
Answer:
Hourly
Step-by-step explanation:
if you work for that long and for that many hours you would get alot of money in about a month or two.
-k-5k=-5k-4
Combine -5k and -k = -6k
-6k=-5k-4
add 5k to -6k which equals -1k
divide -1 by -4
answer k=4
Answer:
x=2
Step-by-step explanation:
-x+5=-11x+25
add +x on both sides -11x+x =-10x
-10x+25=5
subtract 25 on both sides
you get -10x=-20
x=2
<u><em>Answer:</em></u>
Her hourly rate is $8.25
<u><em>Explanation:</em></u>
Tatianna works 3 hours a day on school days and makes a total of $123.75 in a week
<u>We know that:</u>
There are 5 school days in a week
<u>We are given that:</u>
She works for 3 hours a day each of those days
<u>Therefore:</u>
Total number of hours worked = hours worked daily * number of days
Total number of hours worked = 3 * 5 = 15 hours in a week
<u>The equation used to calculate Tatianna's earnings is:</u>
Amount she makes in a week = Total number of hours worked * hourly rate
<u>Now, we substitute with the givens to get the hourly rate as follows:</u>
Amount she makes in a week = Total number of hours worked * hourly rate
123.75 = 15 * hourly rate
Hourly rate = $8.25