Solve the system using linear combinations.
–5x + y = 1
9x – 2y = 4
2 answers:
Multiply first equation with 2. Then add first and second, we get -x=6. X=-6 and y=-29
Answer:
(-6, -29)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Equality Properties
<u>Algebra I</u>
Solving systems of equations using substitution/elimination Step-by-step explanation:
<u>Step 1: Define Systems</u>
-5x + y = 1
9x - 2y = 4
<u>Step 2: Rewrite Systems</u>
-5x + y = 1
Add 5x on both sides: y = 5x + 1
<u>Step 3: Redefine Systems</u>
y = 5x + 1
9x - 2y = 4
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
Substitute in <em>y</em>: 9x - 2(5x + 1) = 4 Distribute -2: 9x - 10x - 2 = 4 Combine like terms: -x - 2 = 4 Isolate <em>x</em> term: -x = 6 Isolate <em>x</em>: x = -6
<u>Step 5: Solve for </u><em><u>y</u></em>
Define equation: -5x + y = 1 Substitute in <em>x</em>: -5(-6) + y = 1 Multiply: 30 + y = 1 Isolate <em>y</em>: y = -29
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