Find the solution to the following system of linear equations:
3x-y+9=0
3x+4y-6=0
(-2, 3)
3x-y+9=0…(I)
3x+4y-6=0..(II)
From the equation I we get,
y=3x+9
Substituting this value of y in equation II we get,
3x+4(3x+9)-6=0
⇒15x+30=0
⇒x=-2
Substituting this value of y in equation I we get,
y=3
Hence the solution is (-2, 3).