Which is the solution to the system of equations? 4x + 2y = -1
3x + 4y = 3

A. (0, -1)
B. (8,0)
C.(1, -7/8)
D. (-1, 3/2)

D. (-1, 3/2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

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

Step-by-step explanation:

Step 1: Define System

4x + 2y = -1

3x + 4y = 3

Step 2: Rewrite System

4x + 2y = -1

[Multiplication Property of Equality] Multiply -2 on both sides:                     -2(4x + 2y) = 2[Distributive Property] Distribute -2 on both sides:                                        -8x - 4y = 2

Step 3: Redefine Systems

-8x - 4y = 2

3x + 4y = 3

Step 4: Solve for x

Combine equations:                                                                                         -5x = 5[Division Property of Equality] Divide -5 on both sides:                                x = -1

Step 5: Solve for y

Substitute in x [Original Equation]:                                                                  3(-1) + 4y = 3Multiply:                                                                                                             -3 + 4y = 3[Addition Property of Equality] Add 3 on both sides:                                     4y = 6[Division Property of Equality] Divide 4 on both sides:                                  y = 3/2

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