У = 2х +7
y = x+8
using substitution
2 answers:
Answer:
(1, 9)
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 Systems</u>
y = 2x + 7
y = x + 8
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x + 7 = x + 8
- Subtract <em>x</em> on both sides: x + 7 = 8
- Subtract 7 on both sides: x = 1
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = x + 8
- Substitute in <em>x</em>: y = 1 + 8
- Add: y = 9
Answer:
x = 1
y = 9
Step-by-step explanation:
y = 2x + 7 --------------------(I)
y = x + 8 ----------------------(II)
Substitute y = 2x + 7 in equation (I)
2x + 7 = x + 8 {Subtract 'x' from both sides}
2x + 7 - x = 8 {Combine like terms}
x + 7 = 8 {Subtract 7 from both sides}
x = 8 -7
x = 1
Substitute x = 1 in equation (I)
y = 2*1 + 7
= 2 + 7
y = 9
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