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3 years ago

Solve the system using linear combinations. –5x + y = 1 9x – 2y = 4

Mathematics

2 answers:

larisa [96]3 years ago

8 0

Multiply first equation with 2. Then add first and second, we get -x=6. X=-6 and y=-29

noname [10]3 years ago

8 0

Answer:

(-6, -29)

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

-5x + y = 1

9x - 2y = 4

Step 2: Rewrite Systems

-5x + y = 1

Add 5x on both sides: y = 5x + 1

Step 3: Redefine Systems

y = 5x + 1

9x - 2y = 4

Step 4: Solve for x

Substitution

Substitute in y: 9x - 2(5x + 1) = 4
Distribute -2: 9x - 10x - 2 = 4
Combine like terms: -x - 2 = 4
Isolate x term: -x = 6
Isolate x: x = -6

Step 5: Solve for y

Define equation: -5x + y = 1
Substitute in x: -5(-6) + y = 1
Multiply: 30 + y = 1
Isolate y: y = -29

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