Answer:
[tex](1,\ 9)[/tex]
Step-by-step explanation:
Rewrite the first equation
[tex]-6y=-50-4x\\\\4x-6y=-50[/tex]
Now we have the following system of equations
[tex]4x-6y=-50\\5x-6y=-49[/tex]
To solve the system of equations multiply the first equation by -1 and add it to the second equation
[tex]-1*4x-(-1)*6y=-50*(-1)\\\\-4x+ 6y=50[/tex]
[tex]-4x+ 6y=50[/tex]
+
[tex]5x-6y=-49[/tex]
-----------------------------------
[tex]x + 0 =1\\\\x=1[/tex]
Now substitute the value of x in any of the two equations and solve for y
[tex]5(1)-6y=-49[/tex]
[tex]5-6y=-49[/tex]
[tex]-6y=-49-5[/tex]
[tex]-6y=-54[/tex]
[tex]y=\frac{54}{6}[/tex]
[tex]y=9[/tex]
The solution is:
[tex](1,\ 9)[/tex]
