Answer:
- A. X=-12
- B. X=102
- C. X=44
- D. X=15
Step-by-step explanation:
Isolate the term of x from one side of the equation.
<h3><u>Part A. x-9=-21</u></h3>
<u>First, add by 9 from both sides.</u>
x-9+9=-21+9
<u>Solve.</u>
-21+9=-12
<u>X=-12</u>
<h3><u>Part B. 10+x=112</u></h3>
<u>Switch sides.</u>
x+10=112
<u>Subtract by 10 from both sides.</u>
x+10-10=112-10
<u>Solve.</u>
112-10=102
<u>X=102</u>
<h3><u>Part C. 14=x-30</u></h3>
<u>Switch sides.</u>
x-30=14
<u>Add by 30 from both sides.</u>
x-30+30=14+30
<u>Solve.</u>
<u>x=44</u>
<h3><u>Part D. 12-x=3</u></h3>
<u>Switch sides.</u>
x-12=3
<u>Add by 12 from both sides.</u>
x-12+12=3+12
<u>Solve.</u>
<u />
<u>Add the numbers from left to right.</u>
3+12=15
<u>x=15</u>
- <u>Therefore, the correct answer is part A: x=-12, part B: x=102, part C: x=44, and part D: x=15.</u>
I hope this helps you! Let me know if my answer is wrong or not.
Answer:
62.5.
Step-by-step explanation:
Given:
The expression to simplify is given as:
55 - 4.5 +12
We have to use PEMDAS method in order to simplify this.
P stands for parenthesis, E for exponents, M/D stands for Multiplication or Division and A/S stands for Addition or Subtraction.
P has the highest priority followed by E followed by M or D which ever comes first followed by A or S which ever comes first.
Here, the first operation we encounter is subtraction S.
First, we will subtract 4.5 from 55. So, 55 - 4.5 = 50.5
Next operation is addition A.
Now, we will add the result to 12. So, 50.5 + 12 = 62.5
Therefore, the answer is 62.5.
Given linear equation in standard form x-y=-2.
Let us convert it in slope-intercept form first.
x-y =-2.
Subtracting x from both sides
x-x-y = -2-x
-y = -x-2.
Dividing both sides by -1, we get
y= x+2.
We can write it as y=1x+2.
Let us compare it with slope-intercept form y=mx+b.
On comparing, we get slope m= 1 and y-intercept b=2.
Let us check option -3x+3y=6.
Let us check it by converting in slope-intercept form.
Adding 3x on both sides we get
-3x+3x+3y=6+3x
3y = 3x + 6.
Dividing both sides each term by 3.
3y/3 = 3x/3 + 6/3.
y= 1x +2.
On comparing with slope-intercept form y=mx+b.
We got slope m=1 and y-intercept =2.
So, the equation in option B) -3x+3y=6 create a consistent and dependent system with x-y=-2.
Answer:
b
Step-by-step explanation:
a x (b + c) = (a x b) + (a x c)
