Solve the system of equations down below Y-15=3x
-2+5y=-3

(-6, -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

y - 15 = 3x

-2x + 5y = -3

Step 2: Rewrite Systems

y - 15 = 3x

Add 15 to both sides:                    y = 3x + 15

Step 3: Redefine Systems

y = 3x + 15

-2x + 5y = -3

Step 4: Solve for x

Substitution

Substitute in y:                         -2x + 5(3x + 15) = -3Distribute 5:                              -2x + 15x + 75 = -3Combine like terms:                13x + 75 = -3Isolate x term:                          13x = -78Isolate x:                                   x = -6

Step 5: Solve for y

Define equation:                    y - 15 = 3xSubstitute in x:                       y - 15 = 3(-6)Multiply:                                  y - 15 = -18Isolate y:                                 y = -3

Step 6: Graph Systems

Check the solution set.