Question

Y = 2x - 1
y=-3x + 4
Solve the following system of equations for x

Answer 1

`y = 2x - 1 \: and \: y = - 3x + 4 \\replacing \: the \: value \: of \: y, \: we \: get \\ 2x - 1 = - 3x + 4 \\ 5x = 5 \\ \boxed{x = 1}`

x= 1 is the right answer.

Answer 2

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

• 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 - 1

y = -3x + 4

Step 2: Solve for x

Substitution

1. Substitute in y: 2x - 1 = -3x + 4
2. Add 3x on both sides: 5x - 1 = 4
3. Add 1 to both sides: 5x = 5
4. Divide 5 on both sides: x = 1