Answer:
<em>k=2/3</em>
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form <em>y/x = k or y = kx</em>
In this problem we have <em>3y = 2x</em>
Isolate the variable y
Divide by 3 both sides
<em>y = 2/3x</em>
Remember that
In a proportional relationship the constant of proportionality k is equal to the slope m of the line
The slope of the line m is
<em>m = 2/3</em>
therefore
The constant of proportionality k is
<em>k = 2/3</em>
<em>I hope this helped have a wonderful day/night ! <3 </em><em>(depends what time it is)</em>
The system of equation is y = 300 + 3x and y = 250 + 5x and the number of visits is 25
<h3>The system of equations </h3>
The given parameters are:
<u>Jim's Gym</u>
- Initial fee = $300
- Charges = $3 per visit
<u>Sally's Salon</u>
- Initial fee = $250
- Charges = $5 per visit
The equation is calculated as:
Total (y) = Initial * Charges * Number of visits (x)
So, the system of equation is
y = 300 + 3x
y = 250 + 5x
<h3>Number of visits before the plans are equal</h3>
We have:
y = 300 + 3x
y = 250 + 5x
Substitute y = 300 + 3x in y = 250 + 5x
300 + 3x = 250 + 5x
Evaluate the like terms
-2x = -50
Divide by -2
x= 25
Hence, the number of visits is 25
Read more about system of equations at
brainly.com/question/12895249
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Let's solve your system by substitution.
2x−2y=−4;2x+y=11
Rewrite equations:
2x+y=11;2x−2y=−4
Step: Solve2x+y=11for y:
2x+y=11
2x+y+−2x=11+−2x(Add -2x to both sides)
y=−2x+11
Step: Substitute−2x+11foryin2x−2y=−4:
2x−2y=−4
2x−2(−2x+11)=−4
6x−22=−4(Simplify both sides of the equation)
6x−22+22=−4+22(Add 22 to both sides)
6x=18
6x/6 = 18/6
(Divide both sides by 6)
x=3
Step: Substitute3forxiny=−2x+11:
y=−2x+11
y=(−2)(3)+11
y=5(Simplify both sides of the equation)
Answer:
x=3 and y=5
There are 7 games in each case.
4+10 = 14
14 ÷2= 7 games