Q73. - Algebra 2

Question

Solve the system of equation.

 

$\begin{array}{l}3x+5y=2\\ 2x-y=-3\end{array}$

Step-by-Step Solution

Answer

The solution is $x=-1,y=1$.

Step 1- Consider the equation.

Consider the system of equation

 $\begin{array}{l}3x+5y=2\left(1\right)\\ 2x-y=-3\left(2\right)\end{array}$

Step 2- Step description.

Multiply the equation (2) by 5 such that $10x-5y=-15$.                       (3)

 

Add the equation (3) and the equation (1) as follows:

 

$\begin{array}{l}10x-5y+3x+5y=-15+2\\ 13x=-13\\ x=-1\end{array}$

Step 3- Step description.

Substitute the value of x in equation (1).

 

$\begin{array}{l}3x+5y=2\\ 3(-1)+5y=2\\ -3+5y=2\\ 5y=2+3\\ y=1\end{array}$

 

Therefore, the solution is $x=-1,y=1$.