From the information given:
Suzette ran and biked for a total of 44.75 ml in 4 hours.
Let us assume that:
- x = to the total time that Suzette use to ran
- y = to the total time Suzette use to bike
Then;
(a)
the system of the two equations can be expressed as:
x + y = 4 ------ (1)
6.5x + 14y = 44.75 ------- (2)
(b)
Using substitution method:
From equation (1), let's make (x) the subject of the formula, so:
x = 4 - y
Replace the value of x into equation (2), we have:
6.5(4-y) + 14 y = 44.75
Open brackets
26 - 6.5y + 14y = 44.75
26 + 7.5y = 44.75
7.5y = 44.75 - 26
7.5y = 18.75
y = 18.75/7.5
y = 2.5
Now, since the value of y is known, then, we can replace it back into equation ((1) to solve for (X);
SO;
x + y = 4
x = 4 - y
x = 4 - 2.5
x = 1.5
Thus, We can say that:
- Suzette ran for x hours = 1.5 hours
- Suzette bike for y hours = 2.5 hours
To check by substituting the value of x and y into the equation:
The purpose of checking is to make sure that what we have on the right-hand side is equivalent to what is on the left-hand side.
So:
Using equation (1)
x + y = 4
2.5 + 1.5 = 4
4 = 4
We can therefore conclude that Suzette ran for 1.5 hours and biked for 2.5 hours.
Learn more about substitution here:
brainly.com/question/13058734?referrer=searchResults
