Answer:
x = 8
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 equation</u>
3(x - 2) = 2(x + 1)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 3x - 6 = 2x + 2
- Subtract 2x on both sides: x - 6 = 2
- Add 6 to both sides: x = 8
<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>: 3(8 - 2) = 2(8 + 1)
- Subtract/Add: 3(6) = 2(9)
- Multiply: 18 = 18
Here we see that 18 does indeed equal 18.
∴ x = 8 is a solution to the equation.
3 bags of 10 apples 8 in single apples
Answer:
y - 7 = 2(x - 1)
Step-by-step explanation:
Going from (-3, -1) to (1, 7), x increases by 4 and y by 8. These numbers are the 'run' and 'rise' of the line, respectively. Thus, the slope of the red line is m = rise/run = m = 8/4 = 2.
Using the point-slope formula and the point (1, 7), we get:
y - 7 = 2(x - 1)
Step-by-step explanation:
Identify the method that will be used to solve for x for each equation.
4x=20 division property fo equality
x-11=9 addition property of eqaulity
5x+6x=22 Combining Like terms
5(x-2)=30 distibute property
HOPE THIS HELPS!!!!!!!!
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