What’s the value of x in the solution to this system of equitations:

3x + 4y =-3

x= -2y- 1

3x + 4y =-3

x= -2y- 1

3x + 4y =-3

x= -2y- 1

Asked
6 months ago

Viewed
843726 times

**Answer:**

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 = -3 - Distribute 3: -6y - 3 + 4y = -3
- Combine like terms: -2y - 3 = -3
- Isolate
*y*term: -2y = 0 - Isolate
*y*: y = 0

__Step 3: Solve for ____x__

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

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