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Chapter 3: Q6. (page 142)

Solve each system of equations.

r-3s+t=43r-6s+9t=54r-9s+10t=9

Short Answer

Expert verified

The solution has infinitely many solutions.

Step by step solution

01

Step-1 –Using elimination to obtain two equations in two variables

Given system of equations are

r-3s+t=43r-6s+9t=54r-9s+10t=9

Multiplying first equation by and subtracting with the second equation, we get

-12s+9s+4t-10t=16-9-3s-6t=7

02

Step-2 –Solving the system of two equations in two variables

System of equations with two variables are

-3s-6t=7-3s-6t=7

Therefore, the equation-3s-6t=7has infinitely many solutions.

03

Step-3 –Evaluating the value of r

Since, s andt has infinitely many values and sor has many values.

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