Answer:
x = -8
Step-by-step explanation:
This is a system of equations, which can be solved using substitution in this case. We know that 3x-8y=24, but what is y, in terms of x? Well, it's given that y=x+2. Therefore, we can substitute y to be x+2 in the initial equation, giving 3x-8(x+2)=24. Those brackets are important because we're multiplying the entire quantity of x+2 by -8. -8 because the quantity is being subtracted.
Now, to solve for x, we need to simplify the equation 3x-8(x+2)=24. First, multiply out the brackets (which basically means multiplying every term in the brackets that's separated by + or - by what the entire bracket is multiplied by) to get 3x-8x-8*2=24 or 3x-8x-16=24. Next, collect like terms - 3x and 8x are like terms, so we can collect them, basically treating them as numbers (3-8) to get -5x-16=24.
Then add 16 to both sides, which gives -5x-16+16=24+16. -16+16 is 0, while 24+16 is 40, so the resulting equation is -5x=40. Lastly, dividing both sides by -5, (-5x)/(-5)=40/(-5), but because -5/-5 is 1, and 40/(-5) is -8, x = -8
