Question

У = 2х +7
y = x+8
using substitution

Answer 1

x = 1

y = 9

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

Answer 2

(1, 9)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtract Property of Equality

Explanation:

Step 1: Define Systems

y = 2x + 7

y = x + 8

Step 2: Solve for x

Substitution

1. Substitute in y: 2x + 7 = x + 8
2. Subtract x on both sides: x + 7 = 8
3. Subtract 7 on both sides: x = 1

Step 3: Solve for y

1. Define equation: y = x + 8
2. Substitute in x: y = 1 + 8
3. Add: y = 9