Answer:
p, the number of pizzas ordered
Step-by-step explanation:
The independent variable in the equation will be the variable that controls the cost.
Since the total cost will depend on the number of pizzas ordered, the number of pizzas ordered will be the independent variable.
The total cost is the dependent variable, since it depends on the number of pizzas.
So, the independent variable in the equation is p, the number of pizzas ordered.
So if you're solving by substitution, one equation must be in slope intercept form. Ill just go with the first one.
-4x+y=6
<u>+4x +4x
</u>y=6+4x
Now substitute the value of y in for the value of y in the second equation:
-5x-(6+4x)=21
-5x-6-4x=21
-9x-6=21
<u> +6 +6
</u><u>-9x=27
</u>-9 -9
x=-3
Now input that into the first equation:
-4(-3)+y=6
12+y=6
<u>-12 -12</u>
y=-6
I HOPE THIS WAS HELPFUL! If it was, please rate my answer!
Length = x, width = y
x = 2y - 10....so sub in 2y - 10 for y back in the other equation
2x + 2y = 88
2(2y - 10) + 2y = 88
4y - 20 + 2y = 88
4y + 2y = 88 + 20
6y = 108
y = 108/6
y = 18
x = 2y - 10
x = 2(18) - 10
x = 36 - 10
x = 26
so the length (x) is 26 mm and the width (y) is 18 mm
The width of the stamp is 8 mm less then the length (26 - 18 = 8)
<h3><u>Answer</u> :</h3>
Let numerator of fraction be x and denominator be y.
∴ Fraction = x/y
★ <u>Part - A</u> :
![:\implies\tt\:\dfrac{x\times 4}{y-2}=2](https://tex.z-dn.net/?f=%3A%5Cimplies%5Ctt%5C%3A%5Cdfrac%7Bx%5Ctimes%204%7D%7By-2%7D%3D2)
![:\implies\tt\:4x=2(y-2)](https://tex.z-dn.net/?f=%3A%5Cimplies%5Ctt%5C%3A4x%3D2%28y-2%29)
![:\implies\tt\:4x=2y-4](https://tex.z-dn.net/?f=%3A%5Cimplies%5Ctt%5C%3A4x%3D2y-4)
![:\implies\tt\:2y=4x+4](https://tex.z-dn.net/?f=%3A%5Cimplies%5Ctt%5C%3A2y%3D4x%2B4)
![:\implies\bf\:y=2x+2\:\:\dots (1)](https://tex.z-dn.net/?f=%3A%5Cimplies%5Cbf%5C%3Ay%3D2x%2B2%5C%3A%5C%3A%5Cdots%20%281%29)
★ <u>Part</u><u> </u><u>-</u><u> </u><u>B</u> :
![:\implies\tt\:\dfrac{x+15}{2y-2}=\dfrac{9}{7}](https://tex.z-dn.net/?f=%3A%5Cimplies%5Ctt%5C%3A%5Cdfrac%7Bx%2B15%7D%7B2y-2%7D%3D%5Cdfrac%7B9%7D%7B7%7D)
![:\implies\tt\:7(x+15)=9(2y-2)](https://tex.z-dn.net/?f=%3A%5Cimplies%5Ctt%5C%3A7%28x%2B15%29%3D9%282y-2%29)
![:\implies\tt\:7x+105=18y-18](https://tex.z-dn.net/?f=%3A%5Cimplies%5Ctt%5C%3A7x%2B105%3D18y-18)
From equation (1)...
![:\implies\tt\:7x+105=18(2x+2)-18](https://tex.z-dn.net/?f=%3A%5Cimplies%5Ctt%5C%3A7x%2B105%3D18%282x%2B2%29-18)
![:\implies\tt\:7x+105=36x+38-18](https://tex.z-dn.net/?f=%3A%5Cimplies%5Ctt%5C%3A7x%2B105%3D36x%2B38-18)
![:\implies\tt\:29x=105-18](https://tex.z-dn.net/?f=%3A%5Cimplies%5Ctt%5C%3A29x%3D105-18)
![:\implies\tt\:x=\dfrac{87}{29}](https://tex.z-dn.net/?f=%3A%5Cimplies%5Ctt%5C%3Ax%3D%5Cdfrac%7B87%7D%7B29%7D)
![:\implies\boxed{\bf{x=3}}](https://tex.z-dn.net/?f=%3A%5Cimplies%5Cboxed%7B%5Cbf%7Bx%3D3%7D%7D)
![:\implies\tt\:y=2x+2](https://tex.z-dn.net/?f=%3A%5Cimplies%5Ctt%5C%3Ay%3D2x%2B2)
![:\implies\tt\:y=2(3)+2](https://tex.z-dn.net/?f=%3A%5Cimplies%5Ctt%5C%3Ay%3D2%283%29%2B2)
![:\implies\boxed{\bf{y=8}}](https://tex.z-dn.net/?f=%3A%5Cimplies%5Cboxed%7B%5Cbf%7By%3D8%7D%7D)
∴ Fraction = x/y = 3/8
<h3>Hope It Helps!</h3>
Answer:
Step-by-step explanation: