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Chapter 11: Q. 32 (page 714)

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

3x-2y=05x+10y=4

Short Answer

Expert verified

The solution of the given system of equation is x=0.2,y=0.3;0.2,0.3.

Step by step solution

01

Step 1. Given information.

The given equations are:

3x-2y=05x+10y=4

02

Step 2. Determine one variable in terms of another variable.

The first equation can be written as:

3x-2y=03x=2yx=23y

03

Step 3. Determine the value of one variable.

Substitute the above value in the second equation.

523y+10y=410y3+10y=410y+30y3=440y=12y=1240y=0.3

04

Step 4. Determine the value of another variable.

Substitute y=0.3in x=23y.

x=23(0.3)x=2(0.1)x=0.2

The solution of the given system of equation is x=0.2,y=0.3;0.2,0.3.

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