Question

Solve the system of equations by substitution: y=4x-10 y=x+2

Answer 1

Answer:

(4, 6)

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

Algebra I

• Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 4x - 10

y = x + 2

Step 2: Solve for x

Substitution

1. Substitute in y:                           4x - 10 = x + 2
2. Subtract x on both sides:          3x - 10 = 2
3. Add 10 on both sides:                3x = 12
4. Divide 3 on both sides:             x = 4

Step 3: Solve for y

1. Define equation:                     y = x + 2
2. Substitute in x:                        y = 4 + 2
3. Add:                                         y = 6

Answer 2

Plug in x + 2 for y
x + 2 = 4x - 10
Subtract x
2 = 3x - 10
Add 10, 12 = 3x, x = 4
Plug into second equation
y = 4 + 2, y = 6
Solution: x = 4, y = 6... or (4,6)