Is there an ordered pair to both of these linear equations? Y= x+1 Y= -x+5
2 answers:
Answer:
(2, 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
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
y = x + 1
y = -x + 5
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution.</em>
- Substitute in <em>y</em>: x + 1 = -x + 5
- Add <em>x</em> on both sides: 2x + 1 = 5
- Subtract 1 on both sides: 2x = 4
- Divide 2 on both sides: x = 2
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = x + 1
- Substitute in <em>x</em>: y = 2 + 1
- Add: y = 3
<u>Step 4: Graph</u>
<em>We can graph the systems and check if the point is the actual solution set.</em>
Answer:
Yes (2,3)
Step-by-step explanation:
x+1 = -x+5
x+x = 5-1
2x=4
x=2
y=x+1=2+1
y=3
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