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Chapter 11: Q. 311 (page 1159)

In the following exercises, solve the system of equations by using graphing.

3x2-y=0y=2x-1

Short Answer

Expert verified

System of equations have no solution.

Step by step solution

01

Given information 

Given two equations are

3x2-y=0y=2x-1

02

Graph first equation 

Given equation is

3x2-y=03x2=yy=3x2

we find out the vertex using formula

x=-b2aa=3,b=0x=-02(3)=0y=3x2y=3(0)2=0vertexis(0,0)

The value of a=3, a is positive. so the graph of parabola goes up .

x and y intercept is (0,0)

Now graph the parabola

03

Graph the second equation 

y=2x-1

substitute x =0 and find out y intercept

substitute y=0 and find out x intercept

y=2x-1x=0y=2(0)-1y=-1yinterceptis(0,-1)y=00=2x-11=2xx=12xinterceptis(0.5,0)

Graph the intercepts and connect it by a line .

Graph both the equations in same plane

04

Intersection 

Both the graphs does not intersects.

So , no solution for these system of equations

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