Find the solution of the system of equations

-6x + 5y = 34
-6x - 10y = 4

(_, _)

(-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

A²+b²=c²
4²+6²=c²
16+36=c²
52=c²
Sqrt52=~7.21