Question

What does the y equal in the system of equations y= 2x-7 and 5x+2=4

Answer 1

y = -31/5

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

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtract Property of Equality

Algebra I

• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

y = 2x - 7

5x + 2 = 4

Step 2: Solve for x

1. Define equation: 5x + 2 = 4
2. Subtract 2 on both sides; 5x = 2
3. Divide 5 on both sides: x = 2/5

Step 3: Solve for y

1. Define equation: y = 2x - 7
2. Substitute in x: y = 2(2/5) - 7
3. Multiply: y = 4/5 - 7
4. Subtract: y = -31/5