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Chapter 11: Q. 21 (page 796)

In Problems 21and 22, solve each system of equations.

3x2+y2=12y2=9x

Short Answer

Expert verified

Solution of the system of equations is(1,卤3)

Step by step solution

01

Step 1. Given information

A system of equations is given as

3x2+y2=12y2=9x

02

Step 2. Solving for x

We will use substitution method,

Divide the equation 3x2+9x=12by 3,

x2+3x-4=0

Now, solve as quadratic equation,

x2-x+4x-4=0x(x-1)+4(x-1)=0(x+4)(x-1)=0

Now xhas two values but according to the system of equations xcannot be negative.

Therefore xmust be one.

03

Step 3. Solve for y

Now substitute the values of x,

y2=9(1)y=卤3

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Most popular questions from this chapter

Graph the equation:y=3x+2

In Problems 5鈥�24, graph each equation of the system. Then solve the system to find the points of intersection.

y=x;y=2-x

Graph each equation of the system. Then solve the system to find the points of intersection.

y=36-x2y=8-x

Solve the equation:

3x+4=8-x

In Problems 5鈥�24, graph each equation of the system. Then solve the system to find the points of intersection.

x2+y2=8;x2+y2+4y=0
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