Question

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

3x + 4y =-3
x= -2y- 1

Answer 1

x = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Algebra I

• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

3x + 4y = -3

x = -2y - 1

Step 2: Solve for y

Substitution

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

Step 3: Solve for x

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