For this case we propose a system of equations:
x: Variable that represents the amount of hours that Olivia's mother drove
y: Variable that represents the amount of hours that Olivia's father drove
So, we have:

From the first equation we have:

Substituting in the second equation:

Thus, Olivia's father drove 3 hours.

Olivia's mother drove 11 hours.
Answer:

Answer:
1/16 of the class are left handed boys but we do not know the amount of left handed girls so we cannot be sure.
Step-by-step explanation:
1/2 * 1/8 = 1/16
there is still no way to be sure of how many girls are left handed so you should probably make a note by the problem so the mistake on the test will be realized
Answer:
x = 7 x = -1
Step-by-step explanation:
3|x − 3| + 2 = 14
Subtract 2 from each side
3|x − 3| + 2 -2= 14-2
3|x − 3| = 12
Divide by 3
3|x − 3| /3 = 12/3
|x − 3| = 4
Now the absolute value has a positive and negative solution.
x-3 = 4 x-3 = -4
Add 3 to each side
x-3+3 = 4+3 x-3+3 = -4+3
x = 7 x = -1
Answer:
<u>(a) x = 2</u>
Step-by-step explanation:
x - 12 = -8x + 6
First, move all the like terms to one side of the equation. We will move all the x's to the left, and the rest to the right in this equation. (Don't forget to pay attention to the signs of the numbers as you move them over the equal sign.)
x - 12 + 8x = 6
x + 8x = 6 + 12
9x = 18
Next, solve for x by isolating it to one side of the equation. Here, we'll have to divide 18 by 9 (do the opposite of what 9 is doing with x; instead of multiplying it with 18 like it currently is with x, divide 18 by it.)
x =
x = 2
Therefore, your answer is (a), since x = 2.
<em>I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!</em>