Answer:
The answer is (-5/24, -7.5).
Step-by-step explanation:
There are two methods to solving a system of equations - substitution or elimination. In this example, we can use elimination since the coefficients of 'x' are opposite signs. To complete elmination, we simply add the equations together:
-12x - 5y = 40
<u>+ 12x - 11y = 80</u>
-16y = 120
Use inverse operations to solve for 'y' by dividing both sides by -16 to get y = -7.5.
Next, plug in the value of 'y' into one of the equations and solve for 'x':
-12x - (5)(-7.5) = 40 or -12x + 37.5 = 40, now subtract 37.5 from both sides: -12x + 37.5 - 37.5 = 40 - 37.5 or -12x = 5/2. Lastly, divide both sides by -12 to solve for x, x = -5/24.
