Question

# If $2x + 3y = 5$ and $3x + 2y = 10$, then the value of $x - y = \_\_\_\_\_\_\_\_\_$A. 2B. 7C. 4D. 5

Hint: In this question, we will proceed by letting the given equation as equation (1) and (2). Then subtract the equations from one another to get the required answer. So, use this concept to reach the solution of the given problem.

$2x + 3y = 5...........................\left( 1 \right)$
$3x + 2y = 10...............................\left( 1 \right)$
Here, we have to find the value of $x - y$
$\Rightarrow \left( {3x + 2y} \right) - \left( {2x + 3y} \right) = 10 - 5 \\ \Rightarrow 3x + 2y - 2x - 3y = 5 \\$
$\Rightarrow x\left( {3 - 2} \right) + y\left( {2 - 3} \right) = 5 \\ \Rightarrow x\left( 1 \right) + y\left( { - 1} \right) = 5 \\ \therefore x - y = 5 \\$