Question

Зх - у = 10
2х - y= 7

Answer 1

(3, -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 - y = 10

2x - y = 7

Step 2: Rewrite Systems

3x - y = 10

1. Subtract 3x on both sides: -y = 10 - 3x
2. Divide -1 on both sides: y = 3x - 10

Step 3: Redefine Systems

y = 3x - 10

2x - y = 7

Step 4: Solve for x

Substitution

1. Substitute in y: 2x - (3x - 10) = 7
2. Distribute -1: 2x - 3x + 10 = 7
3. Combine like terms: -x + 10 = 7
4. Isolate x term: -x = -3
5. Isolate x: x = 3

Step 5: Solve for y

1. Define equation: 3x - y = 10
2. Substitute in x: 3(3) - y = 10
3. Multiply: 9 - y = 10
4. Isolate y term: -y = 1
5. Isolate y: y = -1