Respuesta :
Answer:
(1, 7)
x = 1
y = 7
General Formulas and Concepts:
Pre-Algebra
- Order of Operations: BPEMDAS
- Equality Properties
Algebra I
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
Step 1: Define systems
-5x + 2y = 9
y = 7x
Step 2: Solve for x
Substitution
- Substitute in y: -5x + 2(7x) = 9
- Multiply: -5x + 14x = 9
- Combine like terms: 9x = 9
- Isolate x: x = 1
Step 3: Solve for y
- Define original equation: y = 7x
- Substitute in x: y = 7(1)
- Multiply: y = 7
Answer: x = 1 and y = 7
Step-by-step explanation:
first you substitude y for 7x
-5x + 2(7x) = 9
then you distribute
-5x + 14x = 9
then you combine like terms
9x = 9
then you divide both sides by 9
x = 1
then you subsitute the x value in the other equations
y = 7(1)
meaning y = 7