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Chapter 11: Q. 22 (page 796)

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

2y2-3x2=5y-x=1

Short Answer

Expert verified

Solution of system equations is(1,2)&(3,4)

Step by step solution

01

Step 1. Given information

A system of equations is given as

2y2-3x2=5y-x=1

02

Step 2. Solving for x

First we will find the value of yin terms of x as,

y-x=1y=1+x

2y2-3x2=52(1+x)2-3x2=52x2+2x+1-3x2=5-x2+4x+2-5=0x2-4x+3=0(x-3)(x-1)=0x=1,3

Now substitute the values of x as,

y=1+1y=2&y=1+3y=4

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Most popular questions from this chapter

Verify that the values of the variables listed are solutions of the system of equations.

2x-y=55x+2y=8x=2,y=-1;(2,-1)

Verify that the values of the variables listed are solutions of the system of equations.

x-y=3-3x+y=1x=-2,y=-5;-2,-5

solve each system of equations. If the system has no solution, say that it is inconsistent.

2x+y=4-2y+4z=03x-2z=-11

Verify that the values of the variables listed are solutions of the system of equations.

x-y=312x+y=3x=4,y=1;4,1

Solve each system of equations. If the system has no solution, say that it is inconsistent.
x+3y=52x-3y=-8
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