Answer:
[tex]x=33\\y=-41[/tex]
Step-by-step explanation:
Let:
[tex]2x+y=25\hspace{5}(1)\\and\\4x+3y=9\hspace{5}(2)[/tex]
We need to eliminate one of the variables, so let's use elimination method. First multiply (1) by 2
[tex]2*(1)\equiv\hspace{5}4x+2y=50[/tex]
Now subtract (2) from 2*(1) in order to eliminate x:
[tex]2*(1)-(2)\\4x-4x+2y-3y=50-9\\-y=41[/tex]
Solving for y:
Multiplying both sides by -1
[tex]y=-41[/tex]
Finally, replacing the value of y in (1)
[tex]2x-41=25[/tex]
Solving for x:
add 41 to both sides:
[tex]2x=66[/tex]
Multiply both sides by 1/2:
[tex]x=\frac{66}{2} =33[/tex]
