What’s the answer to
250 = 4(1 - 7x)
1 answer:
Answer:
x = -123/14
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
250 = 4(1 - 7x)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Divide both sides by 4: 125/2 = 1 - 7x
- Subtract 1 on both sides: 123/2 = -7x
- Divide -7 on both sides: -123/14 = x
- Rewrite: x = -123/14
<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>: 250 = 4(1 - 7(-123/14))
- (Parenthesis) Multiply: 250 = 4(1 + 123/2)
- (Parenthesis) Add: 250 = 4(125/2)
- Multiply: 250 = 250
Here we see that 250 does indeed equal 250.
∴ x = -123/14 is the solution to the equation.
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