Answer:
1. x= -56.25
Expand
19.5-6.5x+36=201-4.5x-33
Simplify
-6.5x+55.5=201-4.5x-33
Simplify again
6.5x+55.5=-4.5x+168
Add 6.5 to both sides
55.5=-4.5x+168+6.5x
Simplify
55.5=2x+168
Subtract
55.5-168=2x
Simplify
112.5=2x
Divide both sides by 2
−112.5÷2 = x
Simplfy
x = -56.25
2. x > -7 ÷ 4
Or
Decimal Form: -1.75
Remove parentheses
12x>4x+5−19
Simplify
12x>4x-14
Subtract
12x-4x>-14
Simplify
8x>-14
Divide both sides by 8
x > -14 ÷ 8
Simplify
x > -7 ÷ 4
Or
Decimal Form: -1.75
3. Answer: Step 2 has an error
Step-by-step explanation:
Given equation,
2(10 - 13x) = -34x + 60
By distributive property,
20 - 26x = -34x + 60
Now, we need to isolate x on the left side of the equation,
For this we need to eliminate constant term from the left side,
20 will be eliminated by subtracting 20 from both sides ( subtraction property of equality )
I.e. Step 2 has an error,
We need to use subtraction property of equality instead of using addition property of Equality,
Note : The correct steps would be,
Step 2 : 20 - 26x = -34x + 60 ( Subtraction property of equality )
Step 3 : 8x = 40 ( addition property of Equality )
Step 4 : x = 5 ( Division Property of Equality )
Hope this helps!!! Good luck!!! ;)
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Answer:
See below.
Step-by-step explanation:
1. 3 * 15 + 4 * 15 - 5 * 15
45 + 60 - 75
105 - 75
30
2. 3x + 4x - 5x
7x - 5x
2x
3. 3(x-2) + 4(x-2) - 5(x-2)
3x - 6 + 4x - 8 - 5x + 10
2x - 4
4. (I'm not typing that out)
7.5x + 19.5 + 10x + 26 - 12.5x - 32.5
5x+13
-hope it helps
Answer:
10x-15y
Step-by-step explanation:
So, when they say use the distrubutive property, they basically mean turning this:
a(b+c)
Into this:
ab+ac
So in this case, it would be:
5(2x-3y)
And we will turn it into:
10x-15y
ANother way to think about it is we are multiplying 2x by 5, and -3y by 5. So:
2x*5
=
10x
And
-3y*5
=
-15y
Then we can combine these two:
10x-15y
Hope this helps!
