Answer:
(-4, 2)
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
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
-9x - 5y = 26
4x - 4y = -24
<u>Step 2: Rewrite systems</u>
4x - 4y = -24
- Add 4y to both sides: 4x = 4y - 24
- Divide 4 on both sides: x = y - 6
<u>Step 3: Redefine systems</u>
-9x - 5y = 26
x = y - 6
<u>Step 4: Solve for </u><em><u>y</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: -9(y - 6) - 5y = 26
- Distribute -9: -9y + 54 - 5y = 26
- Combine like terms: -14y + 54 = 26
- Isolate <em>y</em> term: -14y = -28
- Isolate <em>y</em>: y = 2
<u>Step 5: Solve for </u><em><u>x</u></em>
- Define original equation: 4x - 4y = -24
- Substitute in <em>y</em>: 4x - 4(2) = -24
- Multiply: 4x - 8 = -24
- Add 8 to both sides: 4x = -16
- Divide 4 on both sides: x = -4
<u>Step 6: Graph</u>
<em>Check the solution set.</em>
