Question

Solve each system of equation by elimination
{y=-x+1
{y= 4x-14

Answer 1

(3, -2)

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

y = -x + 1

y = 4x - 14

Step 2: Rewrite Systems

y = 4x - 14

1. Multiply everything by -1: -y = -4x + 14

Step 3: Redefine Systems

y = -x + 1

-y = -4x + 14

Step 4: Solve for x

Elimination

1. Combine equations: 0 = -5x + 15
2. Isolate x term: -15 = -5x
3. Isolate x: 3 = x
4. Rewrite: x = 3

Step 5: Check

1. Define equation: y = -x + 1
2. Substitute in x: y = -3 + 1
3. Add: y = -2