Answer:
x = - 4, y = 7
Step-by-step explanation:
Given the 2 equations
- 7x - 2y = 14 → (1)
6x + 6y = 18 → (2)
Multiplying (1) by 3 and adding to (2) will eliminate the y- term
- 21x - 6y = 42 → (3)
Add (2) and (3) term by term to eliminate y
- 15x = 60 ( divide both sides by 15 )
x = - 4
Substitute x = - 4 into either of the 2 equations and evaluate for y
Substituting into (2)
6(- 4) + 6y = 18
- 24 + 6y = 18 ( add 24 to both sides )
6y = 42 ( divide both sides by 6 )
y = 7
Answer:
The area of the rectangular playroom is 260 feet² .
Step-by-step explanation:
Given:
The perimeter of the rectangular playroom is 72 feet and it's width is 10 feet.
Now, to find its area we need the length .
So, putting the formula of perimeter we get it's length:
Let the length be l .
Perimeter = 2( length + width)


subtracting both sides from 20:


Dividing both sides by 2:


Length is 26 feet.
And, to get the area we put the formula of finding the area:



Therefore, the area of the rectangular playroom is 260 feet² .
Answer:49a^2b^6
Step-by-step explanation:
(7ab^3)^2=7^2×a^2×b^6=49a^2b^6lpp
Answer:
x=-3
y=2
Step-by-step explanation:
To solve this problem you can use the elimination method:
- Multiply the second equation by -6:

- Add both equations:

- Substitute the value of x into one of the original equations and solve for y:

Please enclose fractions such as 8/7 inside parentheses:
<span>(8/7)x^3+x^4+6x+1
Next, arrange these four terms in order of power of x:
</span>x^4 + (8/7)x^3+ 6x+1 This is the standard form you wanted.