For each part A through D below, the idea is to find the common factor between the terms, which you'll then use the distributive property to pull out.
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Part A
3x + 18 = 3(x+6)
Note how we pulled out a 3. If we distribute it back in, we end up with 3x+18 again. The other problems are done in a similar fashion
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Part B
2x - 14 = 2(x - 7)
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Part C
6x + 4 = 2(3x + 2)
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Part D
9x - 15 = 3(3x - 5)
Answer:
10 or x=10
Step-by-step explanation:
First we can combine like-terms.
8x+6=86
Then subtract 6 from both sides
8x=80
Divide by 8
x=10
Answer:
C.
Step-by-step explanation:
Answer:
-6 because its lower than 0
Step-by-step explanation:
Answer:
y= -3x+1
Step-by-step explanation:
Let's start with the y-intercept (initial value). The y-intercept is where the line intersects the y-axis, so the x value should be 0. Here, the y-intercept is (0,1).
The slope is equivalent to the rise over run. We rise three and go to the left 1 which gives us a slope of negative 3 since we went to the left instead of the right.
Equation for a line:
y=mx+b where m is the slope and b is the y-intercept.
We plug in the slope and y-intercept in and get...
y= -3x+1