Solve by the substitution method.
6x + 8y = 0
-7x + y = 31
1 answer:
Answer:
(-4, 3)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
6x + 8y = 0
-7x + y = 31
<u>Step 2: Rewrite Systems</u>
-7x + y = 31
- Add 7x to both sides: y = 7x + 31
<u>Step 3: Redefine Systems</u>
6x + 8y = 0
y = 7x + 31
<em />
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 6x + 8(7x + 31) = 0
- Distribute 8: 6x + 56x + 248 = 0
- Combine like terms: 62x + 248 = 0
- Isolate <em>x </em>term: 62x = -248
- Isolate <em>x</em>: x = -4
<u>Step 4: Solve for </u><em><u>y</u></em>
- Define equation: -7x + y = 31
- Substitute in <em>x</em>: -7(-4) + y = 31
- Multiply: 28 + y = 31
- Isolate <em>y</em>: y = 3
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Answer:
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Step-by-step explanation:
1. Substitute each letter with the numbers given
3(14) + 3(10) / 6
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