Find the solution to the system of equations using any method

2x+4y=-12

y = 4x - 3

(0, -3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

2x + 4y = -12

y = 4x - 3

Step 2: Solve for x

Substitution

Substitute in y:                              2x + 4(4x - 3) = -12Distribute 4:                                   2x + 16x - 12 = -12Combine like terms:                     18x - 12 = -12Isolate x term:                               18x = 0Isolate x:                                        x = 0

Step 3: Solve for y

Define original equation:                    y = 4x - 3Substitute in x:                                     y = 4(0) - 3Multiply:                                                y = 0 - 3Subtract:                                               y = -3

Step 4: Graph systems

Check the solution set.