Solve using elimination x-2y=12 and 5x+3y=-44
(4,8)
(-4,8)
(4,-8)
(-4,-8)

(-4, -8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

x - 2y = 12

5x + 3y = -44

Step 2: Rewrite Systems

x - 2y = 12

[Multiplication Property of Equality] Multiply everything by -5:                  -5x + 10y = -60

Step 3: Redefine Systems

-5x + 10y = -60

5x + 3y = -44

Step 4: Solve for y

Elimination

Combine 2 equations:                                                                                   13y = -104[Division Property of Equality] Divide 13 on both sides:                              y = -8

Step 5: Solve for x

Define original equation:                                                                               x - 2y = 12Substitute in y:                                                                                                x - 2(-8) = 12Multiply:                                                                                                           x + 16 = 12[Subtraction Property of Equality] Subtract 16 on both sides:                      x = -4