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3 years ago

Find the solution to the system of equations below: y = 4x + 20 y = 8x - 4

Mathematics

1 answer:

bija089 [108]3 years ago

4 0

Answer:

(6, 44)

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 = 4x + 20

y = 8x - 4

Step 2: Solve for x

Substitution

Substitute in y: 8x - 4 = 4x + 20
Subtract 4x on both sides: 4x - 4 = 20
Add 4 on both sides: 4x = 24
Divide 4 on both sides: x = 6

Step 3: Solve for y

Define equation: y = 8x - 4
Substitute in x: y = 8(6) - 4
Multiply: y = 48 - 4
Subtract: y = 44

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