Answer:
the slope is 23
Step-by-step explanation:
Answer:
27 miles in the morning and 85 miles in the afternoon.
Explanation:
Let m be the number of miles they rode in the morning. They rode 4 more than 3 times this many in the afternoon; this gives us the expression
3m+4
to represent the miles ridden in the afternoon.
Together they rode 112 miles; this means we add the morning miles, m, to the afternoon miles, 3m+4, and get 112:
m+3m+4 = 112
Combine like terms:
4m+4 = 112
Subtract 4 from each side:
4m+4-4= 112-4
4m = 108
Divide both sides by 4:
4m/4 = 108/4
m = 27
They rode 27 miles in the morning.
That means in the afternoon, they rode
3m+4 = 3(27)+4 = 81+4 = 85 miles.
We have the following expression:
4x + 1 = 6x - 2
We clear x of the expression.
We pass the variables to the right and the constant terms to the left:
1 + 2 = 6x-4x
We rewrite the expression:
3 = 2x
We passed the 2 to divide:
3/2 = x
Answer:
The value of x is:
x = 3/2
