Question

Is there an ordered pare that is a solution to both of these linear equations.

y= x + 1
y= -x + 5

Answer 1

Yes

Explanation:

y = x+1

y = -x+5

Set the two equations equal

x+1 = -x+5

Add x to each side

x+1+x = -x+x+5

2x+1 = 5

Subtract 1 from each side

2x +1-1=5-1

2x =4

Divide by 2

2x/2 =4/2

x=2

Now we can find y

y=x+1

y =2+1

y=3

(2,3)