Question

Solve the system by graphing.
y = -2 + 5
y = x +1

Answer 1

(x,y)=(2,3)

Explanation:

`\left \{ {{y=-2+5} \atop {y=x+1}} \right.`

calculate the sum

`\left \{ {{y=3} \atop {y=x+1}} \right.`

since both expressions 3 and x+1 are equal to y, set them equal to each other forming an equation in x

3=x+1

solve the equation for X

x=2

The possible solution of the system is the ordered pair (x,y)

(x,y)=(2,3)

Check if the given ordered pair is the solution of the system of equations

`\left \{ {{3=-2+5} \atop {3=2+1}} \right.`

simplify the equalities

`\left \{ {{3=3} \atop {3=3}} \right.`

since all of the equalities are true, the ordered pair is the solution of the system

(x,y)=(2.3)

Answer 2

graph the equations and locate the intersection.

( 2 , 3 )

Explanation:

hope this helps!