Question

Is there an ordered pair to both of these linear equations?

Y= x+1

Y= -x+5

Answer 1

Yes (2,3)

Explanation:

x+1 = -x+5

x+x = 5-1

2x=4

x=2

y=x+1=2+1

y=3

Answer 2

(2, 3)

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Algebra I

• Solving systems of equations using substitution/elimination
• Solving systems of equations by graphing

Explanation:

Step 1: Define systems

y = x + 1

y = -x + 5

Step 2: Solve for x

Substitution.

1. Substitute in y: x + 1 = -x + 5
2. Add x on both sides: 2x + 1 = 5
3. Subtract 1 on both sides: 2x = 4
4. Divide 2 on both sides: x = 2

Step 3: Solve for y

1. Define original equation: y = x + 1
2. Substitute in x: y = 2 + 1
3. Add: y = 3

Step 4: Graph

We can graph the systems and check if the point is the actual solution set.