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Chapter 11: Q. 1 (page 795)

In Problems 1鈥�4, solve each system of equations using the method of substitution or the method of elimination. If the system has no solution, say that it is inconsistent.

-2x+y=-74x+3y=9

Short Answer

Expert verified

The solution of the system of equations -2x+y=-74x+3y=9 is (3,-1)

Step by step solution

01

Step 1. Given

The system of equations:

-2x+y=-74x+3y=9

02

Step 2. Solve the equation

Multiply the first equation by 2,

-4x+2y=-14

Add the above equation with second equation, we get,

5y=-5y=-1

03

Step 3. Find x

Substitute y=-1in the second equation,

4x+3y=94x+3(-1)=94x=12x=3

04

Step 4. Check the solution

Substitute x=3;y=-1in the first equation,

-2x+y=-7-2(3)+(-1)=-7-7=-7

Hence the solution is checked.

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Most popular questions from this chapter

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

2x-3y-z=03x+2y+2z=2x+5y+3z=2

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

x-y=5-3x+3y=2

Graph each inequality by hand.

x2+y2>1

An area of 52feet2is to be enclosed by two squares whose sides are in the ratio of2:3. Find the sides of the squares.

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

2x+12y=03x-4y=-192x=-12,y=2;-12,2
See all solutions

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