Question

Please help. What is the solution to the system of equations below?
y = 3x – 2
X + y = 6

Answer 1

A. (2,4)

Explanation:

use the substitution method.

for the second equation, subtract x on both sides to get y = 6-x

substitute that into the first equation

6 - x = 3x - 2

add x on both sides: 6 = 4x-2

add 2 on both sides: 4x = 8

divide by 4: x = 2

y = 6-2 = 4

Answer 2

A. (2, 4)

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

Algebra I

• Solving systems of equations using substitution/elimination
• Solving systems of equations by graphing

Explanation:

Step 1: Define systems

y = 3x - 2

x + y = 6

Step 2: Solve for x

Substitution

1. Substitute in y: x + 3x - 2 = 6
2. Combine like terms: 4x - 2 = 6
3. Add 2 to both sides: 4x = 8
4. Divide 4 on both sides: x = 2

Step 3: Solve for y

1. Define original equation: x + y = 6
2. Substitute in x: 2 + y = 6
3. Subtract 2 on both sides: y = 4

Step 4: Graph systems

Check the solution set.