Use the substitution method to solve the system of equations. Choose the correct ordered pair. y=6x-4 y=7x-7
1 answer:
Answer:
(3, 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
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Coordinates (x, y)
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 6x - 4
y = 7x - 7
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em> [1st Equation]: 6x - 4 = 7x - 7
- [Subtraction Property of Equality] Subtract 7x on both sides: -x - 4 = -7
- [Addition Property of Equality] Add 4 on both sides: -x = -3
- [Division Property of Equality] Divide -1 on both sides: x = 3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em> [2nd Equation]: y = 7(3) - 7
- Multiply: y = 21 - 7
- Subtract: y = 14
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