What’s the value of x in the solution to this system of equitations:
3x + 4y =-3
x= -2y- 1

x = -1

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/elimination

Step-by-step explanation:

Step 1: Define Systems

3x + 4y = -3

x = -2y - 1

Step 2: Solve for y

Substitution

Substitute in x:                    3(-2y - 1) + 4y = -3Distribute 3:                         -6y - 3 + 4y = -3Combine like terms:           -2y - 3 = -3Isolate y term:                     -2y = 0Isolate y:                              y = 0

Step 3: Solve for x

Define equation:                   x = -2y - 1Substitute in y:                      x = -2(0) - 1Multiply:                                 x = 0 - 1Subtract:                                x = -1