Answer:
The solution to the given system of linear equation is;
[tex]\begin{gathered} x=16 \\ y=-41 \end{gathered}[/tex]
Explanation:
Given the linear system of equation;
[tex]\begin{gathered} 3x+y=7\text{ ---------------1} \\ -2x-y=9\text{ --------------2} \end{gathered}[/tex]
We want to solve the simultaneous equation by elimination.
We need to eliminate either x or y. from the given equation, we can see that by adding equation 1 and 2 together we can eiminate y;
So, let's add equation 1 and 2 together;
[tex]\begin{gathered} 3x-2x+y-y=7+9 \\ x=16 \end{gathered}[/tex]
Since we have the value of x, we can use it to get y by substituting into equation 1;
[tex]\begin{gathered} 3x+y=7 \\ 3(16)+y=7 \\ 48+y=7 \\ y=7-48 \\ y=-41 \end{gathered}[/tex]
Therefore, the solution to the given system of linear equation is;
[tex]\begin{gathered} x=16 \\ y=-41 \end{gathered}[/tex]
