2 answers:
Answer:
x= 0
y= -3
Step-by-step explanation:
6x-5y=15
substitution...
6(y+3)-5y=15
6y+18-5y=15
y+18=15
-18 -18
y= -3
substitution again...
6x-5(-3)=15
6x+15=15
-15 -15
6x=0
/6 /6
x= 0
Answer:
(0, -3)
x = 0
y = -3
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>
6x - 5y = 15
x = y + 3
<u>Step 2: Solve for </u><em><u>y</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: 6(y + 3) - 5y = 15
- Distribute 6: 6y + 18 - 5y = 15
- Combine like terms: y + 18 = 15
- Isolate <em>y</em>: y = -3
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define original equation: x = y + 3
- Substitute in <em>y</em>: x = -3 + 3
- Add: x = 0
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