Answer:
a=-5
Step-by-step explanation:
a<u>+7</u>=2
move the constant to the right
a=2<u>-7</u>
then calculate the difference
a=-5
So <u>a=-5 </u> is your answer
Answer:
x = 10
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
6(x - 1) = 9(x - 4)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 6x - 6 = 9x - 36
- Subtract 6x on both sides: -6 = 3x - 36
- Isolate <em>x</em> term: 30 = 3x
- Isolate <em>x</em>: 10 = x
- Rewrite: x = 10
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 6(10 - 1) = 9(10 - 4)
- Subtract: 6(9) = 9(6)
Here we see that the 2 expressions are exactly the same.
∴ x = 10 is the solution to the equation.
Hi there, we divide 320 miles in 8 hours and we get 40. Now, we divide 230 miles in 5 hours and we get 46. Therefore, Maurice drove the faster rate.
Answer:
3x + 2 = 50
16
Step-by-step explanation:
According to the given situation, the equation to determine the number of friends is shown below:-
We assume the number of friends is x
50 - 3x = 2
-3x = -48
3x = 48
x = 16
So, the equation is
3x + 2 = 50
and the number of friends is 16
Therefore, the equation to determine the number of friends we just solved the above equation.
-7x-2y=-13
x= 2y+11 make x or why the subject and substitute it into the first equation.
-7(2y+11)-2y=-13
-14y-77-2y=-13
-16y=64
y=-4
x=-2×-4+11
x=3
