Solve this system by elimination
10x+6y=14
-x-6y=-23
1 answer:
Answer:
(-1, 4)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS Equality Properties <u>Algebra I</u>
Solving systems of equations using substitution/elimination Step-by-step explanation:
<u>Step 1: Define systems</u>
10x + 6y = 14
-x - 6y = -23
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
Add 2 equations together: 9x = -9 Divide 9 on both sides: x = -1
<u>Step 3: Solve for </u><em><u>y</u></em>
Define original equation: -x - 6y = -23 Substitute in <em>x</em>: -(-1) - 6y = -23 Multiply: 1 - 6y = -23 Subtract 1 on both sides: -6y = -24 Divide -6 on both sides: y = 4
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