Solve the following system of equations. -3x + 4y = 64 x + 4y = 32

(-8, 10)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtract Property of Equality

Algebra I

Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-3x + 4y = 64

x + 4y = 32

Step 2: Rewrite Systems

x + 4y = 32

[Subtract Property of Equality] Subtract 4y on both sides:                          x = 32 - 4y

Step 3: Redefine Systems

-3x + 4y = 64

x = 32 - 4y

Step 4: Solve for y

Substitution

Substitute in x:                                                                                                -3(32 - 4y) + 4y = 64Distribute -3:                                                                                                   -96 + 12y + 4y = 64Combine like terms:                                                                                       16y - 96 = 64[Addition Property of Equality] Add 96 on both sides:                                16y = 160[Division Property of Equality] Divide 16 on both sides:                              y = 10

Step 5: Solve for x

Define equation:                                                                                             x + 4y = 32Substitute in y:                                                                                                x + 4(10) = 32Multiply:                                                                                                           x + 40 = 32[Subtraction Property of Equality] Subtract 40 on both sides:                       x = -8