Chapter ISG, Problem 6.1.2.7P

To determine

To verify the given system of equation.

Answer to Problem 6.1.2.7P

The system has no solution

Explanation of Solution

Given information:

  $\begin{array}{l}y=1.21x-3\\ 5y-5=6x\end{array}$

Calculation:

To verify the system, find solution of equation,

Assume equations to be (1) and (2) respectively.

Put value of y from (1) in (2),

  $5(1.21x-3)-5=6x$

Solving,

  $6.05x-15-5=6x$

So,

  $0.05x=20$

Hence ,

  $x=400$

Put value of x in (2)

  $5(y)-5=6(400)$

Solving,

  $5y=2400-5$

So,

  $y=479$

Put these values of x and y in equation (1),

Left hand side,

  =y

  = 479

Right hand side,

  = $1.21x-3$

Solving,

  $=1.21(400)-3$

Next,

  = $484-3$

Thus,

  =481

Hence, Left hand side ≠ right hand side.

It has no solution.