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3 years ago

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

Mathematics

1 answer:

larisa86 [58]3 years ago

3 0

Answer:

(3, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
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

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

Step 3: Redefine Systems

y = -x + 1

-y = -4x + 14

Step 4: Solve for x

Elimination

Combine equations: 0 = -5x + 15
Isolate x term: -15 = -5x
Isolate x: 3 = x
Rewrite: x = 3

Step 5: Check

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

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