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Solve the system by graphing

x-y=-1y=-x2+3

Short Answer

Expert verified

Solution of the system of the equations are(-2,-1),(1,2)

Step by step solution

01

Step 1. Given information,

x-y=-1Equation of a line

y=-x2+3Equation of a parabola

02

Step 2. Graph the equations

Graph for the equations given,

03

Step 3. Solution of the system,

Points of intersection of the graphs (-2,-1),(1,2)Therefore, solution of the system are (-2,-1),(1,2)

04

Step 4. Revalidation the solutions,

Substitute the points in the equations,

For (-2,-1),

x-y=-1-2-(-1)=-1-2+1=-1-1=-1

True.

role="math" localid="1645638437230" y=-x2+3-1=-(-2)2+3-1=-4+3-1=-1

True.

For (1,2),

x-y=-11-2=-1-1=-1

True.

y=-x2+32=-(1)2+32=-1+32=2

True.

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