Question

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

Answer 1

Answer:

(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

Step-by-step 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