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

Y= x+1

Y= -x+5

(2, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

y = x + 1

y = -x + 5

Step 2: Solve for x

Substitution.

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

Step 3: Solve for y

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

Step 4: Graph

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

The point (5, 10) will work for the rule y=x+5.y= 10 x= 510=5+510=10therefore the ordered pair (5, 10) works for the rule