Answer:
(-5, 17)
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 + 3y = 26
-2y = 6x - 4
Step 2: Rewrite systems
5x + 3y = 26
y = 2 - 3x
Step 3: Solve for x
- Substitute: 5x + 3(2 - 3x) = 26
- Distribute 3: 5x + 6 - 9x = 26
- Combine like terms: -4x + 6 = 26
- Subtract 6 on both sides: -4x = 20
- Divide -4 on both sides: x = -5
Step 4: Solve for y
- Define: -2y = 6x - 4
- Substitute: -2y = 6(-5) - 4
- Multiply: -2y = -30 - 4
- Subtract: -2y = -34
- Isolate y: y = 17
And we have our final answer!
