Question

Solve the system of equations given . -2x+5y=-3

A. (-6,-3)
B. (-6,3)
C. (-7,-6)
D. (-3,6)

Answer 1

For this case we have the following system of equations:

$-2x + 5y = -3\\y-15 = 3x$

We multiply the second equation by -5:

$-5y + 75 = -15x$

Now we add the equations:

$-2x-5y + 5y + 75 = -3-15x\\-2x + 75 = -3-15x\\-2x + 15x = -75-3\\13x = -78\\x = \frac {-78} {13}\\x = -6$

We find the value of the variable "y":

$y = 3x + 15\\y = 3 (-6) +15\\y = -18 + 15\\y = -3$

THE solution is: (-6, -3)

Answer:

(-6, -3)