Chapter ISG, Problem 2.13STP

To determine

Solve each equation $5x-7=9x+1$ and $3\left(x-3\right)=5\left(x-2\right)$

Answer to Problem 2.13STP

  $-2$

  $0.5$

Explanation of Solution

Given information:

  $5x-7=9x+1$

Formula used:

Simplification of equation

Calculation:

  $5x-7=9x+1$

Firstly, arrange the all term

  $5x-9x=1+7$

To add the right side term

  $5x-9x=8$

To subtract the left side term

  $-4x=8$

Hence, on dividing, the final answer is-

  $x=-2$

Given information:

  $3\left(x-3\right)=5\left(x-2\right)$

Formula used:

Simplification of equation

Calculation:

  $3\left(x-3\right)=5\left(x-2\right)$

Firstly, multiply the 3 and 5 in bracket term

  $3x-9=5x-10$

To arrange the all term

  $3x-5x=9-10$

To subtract the term,

  $-2x=-1$

Divide by - (minus) both side then

  $2x=1$

Hence, on dividing, the final answer is

  $x=0.5$