Solve the system of linear equations.

−5x−4y=−15

10x+8y=30

(-2, 8)

no solution

(-3, -5)

infinitely many solutions

1 answer

The given system of linear equations is:

-5x - 4y = -15
10x + 8y = 30

To solve this system of equations, we can first multiply the first equation by 2 to make the coefficients of y the same:

-10x - 8y = -30
10x + 8y = 30

Adding the resulting equations together, we get:

0 = 0

Since the equation simplifies to 0 = 0, this system of equations has infinitely many solutions.