(-4, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Left to Right
Equality Properties
Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality
Algebra I
Solving systems of equations using substitution/elimination
Step-by-step explanation:
Step 1: Define Systems
-6x + 5y = 34
-6x - 10y = 4
Step 2: Rewrite Systems
-6x + 5y = 34
Multiply everything by -1: 6x - 5y = -34
Step 3: Redefine Systems
6x - 5y = -34
-6x - 10y = 4
Step 4: Solve for y
Elimination
Combine 2 equations: -15y = -30Divide -15 on both sides: y = 2
Step 5: Solve for x
Define equation: -6x - 10y = 4Substitute in y: -6x - 10(2) = 4Multiply: -6x - 20 = 4Add 20 on both sides: -6x = 24Divide -6 on both sides: x = -4