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Chapter 11: Q. 2 (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.
13x-2y=15x-30y=18

Short Answer

Expert verified

The solution of the system of equations 13x-2y=15x-30y=18is ((3+6a),a)

Step by step solution

01

Step 1. Given

The system of equations:

13x-2y=15x-30y=18

02

Step 2. Solve for x

Solve the first equation for x,

13x-2y=113x=1+2yx=3+6y

03

Step 3. Solve for y

Substitute x=3+6yin the second equation,

5(3+6y)-30y=1815+30y-30y=18

y will get cancelled, so take y as aconstant and x to be any other variable

04

Step 4. Find the solution

Take y=a and

x=3+6a

Thus the solution set is ((3+6a),a)

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