Answer:
x = 5
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>
4x - 1 = 7x - 16
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 4x on both sides: -1 = 3x - 16
- Add 16 to both sides: 15 = 3x
- Divide 3 on both sides: 5 = x
- Rewrite: x = 5
<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>: 4(5) - 1 = 7(5) - 16
- Multiply: 20 - 1 = 35 - 16
- Subtract: 19 = 19
Here we see that 19 does indeed equal 19.
∴ x = 5 is a solution to the equation.
<h3>
Answer: 2.4 pounds per dollar</h3>
Explanation:
We can set up the ratio
12 pounds : 5 dollars
Then divide both parts of that ratio by 5 so that the "5 dollars" becomes "1 dollar"
The ratio 12 pounds : 5 dollars is equivalent to 2.4 pounds : 1 dollar
Answer:
x = 10; y = 20
Step-by-step explanation:
y = 2x
y = x +10
Substitute y of the second equation with 2x.
2x = x + 10
x = 10
y = 2x = 2(10)
y = 20
Answer: x = 10; y = 20
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