Let x and y be the larger and smaller numbers respectively.
Use the given fact "five times the larger plus three times the smaller is 47" to set up an equation:
5x + 3y = 47 ...................(1)
Use the given fact "four times the larger minus twice the smaller is 20" to set up another equation:
4x - 2y = 20 ...................(2)
Multiply both sides of (1) by 2, we have:
10x + 6y = 94 ............................(3)
Multiply both sides of (2) by 3, we have:
12x - 6y = 60 ............................(4)
Add (3) and (4), we have
22x = 154
x = 7
Substituting x = 7 into (1), we have
5*7 + 3y = 47
Solving for y, we have:
35 + 3y = 47
3y = 12
y = 4
Answer:
k=16
Step-by-step explanation:
k/4 - 1 = 3
Add 1 to both sides
k/4 = 4
multiply both sides by 4
k = 16
Answer:
The length of each lap around the lake was of 3.3 miles.
Step-by-step explanation:
Given that Josh cycled 8 laps on a bicycle path surrounding a lake, and each lap was the same length, to determine what was the length of each lap around the lake if he cycled a total of 26.4 miles, the following calculation must be performed:
26.4 / 8 = X
3.3 = X
Thus, the length of each lap around the lake was 3.3 miles.
What is the equation? I could try to assist you.
Answer:
x+y=2
Step-by-step explanation:
Standard Form: ax+by=c
For most convenience start with slope-intercept form: y=mx+b
1. -1 = -1(3)+b - solve for b
b=2
y= -1x+2 (slope-intercept form)
2. Now convert to standard form
Add 1x to both sides:
1x+y=2