Answer:
y = -5 and x = -17
Step-by-step explanation:
We want to solve these two equations,
x = 3y - 2
x = 5y + 8
We can see that they both equal x so we want make them equal to each other so,
→ 3y - 2 = 5y + 8
⇒ Subtract 5y from both sides to collect the 'y' terms
→ -2y - 2 = 8
⇒ Add 2 both sides to collect the numerical terms
→ -2y = 10
⇒ Divide both sides by -2 to isolate y
→ y = -5
Now that we have found the value of y we can substitute this value into one of the 2 equations we have to find the value of x
⇒ We know that y = -5 so lets substitute that into x = 3y - 2
→ x = 3 × -5 - 2
⇒ Simplify
→ x = -15 - 2
⇒ Simplify further
→ x = - 17
Answer:
(2x-5)feet
Step-by-step explanation:
The area of the rectangular garden A = Length × Width
Given the area A(x) = 2x² - 21x + 40
And the width =x-8 feet
To get the length, we will simply factorise the area function as shown;
You will just factorise the area
Factorizing 2x² - 21x+40
2x² − 21x + 40
2x² -16x - 5x + 40
2x(x - 8) -5(x - 8)
=(2x−5)(x−8)
Hence the length of the garden is
(2x-5)feet
Prime factors of 4,725 are 3, 5 and 7
Between 25 and 35, the prime number is probably 31.