Answer:
x=1 and y=-8/3
Step-by-step explanation:
The easiest way to solve this is by substitution because the first equation is already in slope-intercept form.
First, take y= 4/3x -4 and substitute it into the second equation as follows: 6x + 3(4/3x -4) = -2
Next, simplify that equation to get 6x + 12/3x -12 = -2.
After that, combine all like values: 10x - 12 = -2.
Finally, add 12 to each side and divide by 10 to get x=1.
To find the y-value, substitute x=1 into either equation and solve for x (I'm choosing the first equation). y= 4/3(1) -4
In order to make simplifying this easier, I find that -4 = -12/3.
Finally, simplify: y= 4/3 - 12/3 = -8/3.
The solution to the system of equations is (1, -8/3), or x=1 and y=-8/3.
