Respuesta :
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)
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)
Answer:
(4, 6)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- 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
- Substitute in y: 4x - 10 = x + 2
- Subtract x on both sides: 3x - 10 = 2
- Add 10 on both sides: 3x = 12
- Divide 3 on both sides: x = 4
Step 3: Solve for y
- Define equation: y = x + 2
- Substitute in x: y = 4 + 2
- Add: y = 6