Find the solution of the system of equations.
4x+6y = 16
-7x+2y=-3
To solve the system of equations, we can use the method of substitution or elimination.
Let's use the method of substitution:
From the first equation, we can solve for x in terms of y:
4x + 6y = 16
4x = 16 - 6y
x = (16 - 6y)/4
Now substitute this expression for x in the second equation:
-7x + 2y = -3
-7((16 - 6y)/4) + 2y = -3
-28 + 6y + 2y = -3
8y = 25
y = 25/8
Now substitute this value back into the expression for x:
x = (16 - 6(25/8))/4
x = (16 - 75/4)/4
x = (64 - 75/4)/4
x = (256 - 75)/16
x = 181/16
So the solution to the system of equations is x = 181/16 and y = 25/8.