Given:
The system of equation is,
[tex]3x-4y = -2[/tex] -------- (1)
[tex]-6x+5y = 7[/tex] -------- (2)
To find the solution.
To solve the system of equation,
From (1) we get, [tex]3x = -2+4y[/tex]
Putting this value into (2) we get,
[tex]-6x+5y = 7[/tex]
or, [tex]-2(3x)+5y = 7[/tex]
or, [tex]-2(4y-2)+5y = 7[/tex]
or, [tex]-8y+4+5y = 7[/tex]
or, [tex]-3y = 7-4[/tex]
or, [tex]-3y = 3[/tex]
or, [tex]y = -1[/tex]
From (1) we get,
[tex]3x = -2+4(-1)[/tex]
or, [tex]3x = -6[/tex]
or, [tex]x = -2[/tex]
Hence,
The solution is [tex]x= -2[/tex] and [tex]y = -1[/tex]
