nswer:
[tex]\begin{gathered} x\text{ = -4} \\ y\text{ = 3} \end{gathered}[/tex]
Explanation:
ere, we want to solve the syastem of linear equations simultaneously by elimination
We have this as:
[tex]\begin{gathered} -4x+\text{ 3y = 25} \\ 6x-5y\text{ = -39} \end{gathered}[/tex]
We start by multiplying the first equation by 6 and the second by 4. We have this as:
[tex]\begin{gathered} -24x\text{ + 18y = 150} \\ 24x-20y\text{ = -156} \end{gathered}[/tex]
Add both equations as follows:
[tex]\begin{gathered} -2y\text{ = -6} \\ y\text{ = }\frac{-6}{-2}\text{ = 3} \end{gathered}[/tex]
To get x, we multiply the first equation by 5 and the second by 3
We have this as:
[tex]\begin{gathered} -20x\text{ + 15y = 125} \\ 18x-15y=-117 \end{gathered}[/tex]
We proceed to add both equations:
[tex]\begin{gathered} -2x\text{ =8} \\ x\text{ = }\frac{8}{-2} \\ x\text{ = -4} \end{gathered}[/tex]
