Answer:
x = 7
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
7x - 6 = 8 + 5x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 5x on both sides: 2x - 6 = 8
- Add 6 to both sides: 2x = 14
- Divide 2 on both sides: x = 7
<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>: 7(7) - 6 = 8 + 5(7)
- Multiply: 49 - 6 = 8 + 35
- Subtract/Add: 43 = 43
Here we see that 43 does indeed equal 43.
∴ x = 7 is a solution of the equation.
Answer:
x = -6, y = 12
Step-by-step explanation:
Equations:
y = 2x + 24
y = -2x
Bring the the equation together and add like terms together:
-2x = 2x + 24
-4x = 24
Divide both sides by -4 to isolate x:
Find y:
y = -2(-6)
y = 12
Verify:
12 =2(-6) + 12
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Don't forget to ask if you have any questions :D
Answer:
9 cm^2
Step-by-step explanation:
divided the total by the base.
Total purchase price the Smith Family Paid = $231,000
Percentage of the amount paid in Down Payment = 22%
This means 22% of the total purchase price was paid in down payment.
The formula to calculate percentage in this case will be:
Percentage Price = (Amount Paid in Down Payment/Total Price) x 100%
Using the values, we get:
22% = (Amount Paid in Down Payment) / 231,000 x 100%
0.22 = (Amount Paid in Down Payment) / 231,000
Amount Paid in Down Payment = 0.22 x 231000 = $50, 820
This means, The Smith Family paid $50, 820 as down payment.
