The solution of the system of equations:
2x+3y=16
0.5x+0.7y=-4
is x = -232, y = 160
How to solve the system?
We want to use the elimination method to solve the system of equations:
2x+3y=16
0.5x+0.7y=-4
To eliminate x, we need to subtract 4 times the second equation from the first one.
(2x + 3y) - 4*(0.5*x + 0.7y) = 16 - 4*(-4)
3y -2.8y = 32
0.2y = 32
y = 32/0.2 = 160
Now with the first equation we can find the value of x:
2x + 3*160 = 16
x = (16 - 3*160)/2
x = -232