Numerous engineering and scientific applications require finding solutions to a set of equations. Ex: $8x+7y=38$ and $3x-5y=-1$ have a

solution $x=3,y=2.$ Given integer coefficients of two linear equations with variables $x$ and $y,$ use brute force to find an integer solution for $x$

and $y$ in the range $-10$ to $10.$

Ex: If the input is:

$8$

$7$

$38$

$3$

$-5$

$-1$

$x=3,y=2$

Use this brute force approach:

For every value of $x$ from $-10$ to $10$

For every value of $y$ from $-10$ to $10$

Check if the current $x$ and $y$ satisfy both equations. If so$,$ output the solution, and finish.

Ex: If no solution is found, output:

There is no solution

Assume the two input equations have no more than one solution.

Note: Elegant mathematical techniques exist to solve such linear equations. However, for other kinds of equations or situations, brute force

can be handy.

$360100\mathrm{.}3038574\mathrm{.}432097$

LAB

ACTIVITY

cdots Read in first equation, $ax+by=$ccdots

input $())$

b input $())$

input $()$