Answer:
x = 7 and y = 0
Step-by-step explanation:
We can either solve by substitution method or by elimination method or both method . We will solve by both the elimination and substitution method.
X+y=7 ---------------------------------------------------(1)
-x+y=-7 -------------------------------------------------(2)
Subtract equation (2) from equation(1)
2x = 14
Divide both-side of the equation by 2
2x/2 = 14/2
x = 7
Substitute x = 7 into equation (1)
x+y=7
7 + y = 7
Subtract 7 from both-side of the equation
7-7 + y = 7-7
y = 0
x = 7 and y =0
Answer:
(2, 3 )
Step-by-step explanation:
Given the 2 equations
2x - 3y = - 5 → (1)
5x + 4y = 22 → (2) [ rearranged equation ]
Multiplying (1) by 4 and (2) by 3 and adding will eliminate the term in y
8x - 12y = - 20 → (3)
15x + 12y = 66 → (4)
Add (3) and (4) term by term to eliminate y, that is
23x = 46 ( divide both sides by 23 )
x = 2
Substitute x = 2 in either of the 2 equations and evaluate for y
Substituting into (2)
5)2) + 4y = 22
10 + 4y = 22 ( subtract 10 from both sides )
4y = 12 ( divide both sides by 4 )
y = 3
Solution is (2, 3 )
Step-by-step explanation:
y - 4x = 3
Writing in slope intercept form that is y = mx + c
y = 4x + 3
Hope it will help :)
Answer:
White power
Step-by-step explanation:
Answer:
Answer (a): Area of garden ![= 4x^2+12x+9](https://tex.z-dn.net/?f=%3D%204x%5E2%2B12x%2B9)
Answer (b): Area of the square garden and the walkway = ![16x^2+24x+9](https://tex.z-dn.net/?f=16x%5E2%2B24x%2B9)
Step-by-step explanation:
Answer (a):
From given picture we see that Length of the garden = 2x+3
Width of the garden = 2x+3
Then area of the square garden = (Length)(Width)
![= (2x+3)(2x+3)](https://tex.z-dn.net/?f=%3D%20%282x%2B3%29%282x%2B3%29)
![= 4x^2+6x+6x+9](https://tex.z-dn.net/?f=%3D%204x%5E2%2B6x%2B6x%2B9)
![= 4x^2+12x+9](https://tex.z-dn.net/?f=%3D%204x%5E2%2B12x%2B9)
Answer (b):
From given picture we see that width of the walkway = x
Then length of the garden including walkway =x + (2x+3) +x=4x+3
Similarly width of the garden = 4x+3
Then area of the square garden and the walkway = (Length)(Width)
![= (4x+3)(4x+3)](https://tex.z-dn.net/?f=%3D%20%284x%2B3%29%284x%2B3%29)
![= 16x^2+12x+12x+9](https://tex.z-dn.net/?f=%3D%2016x%5E2%2B12x%2B12x%2B9)
![= 16x^2+24x+9](https://tex.z-dn.net/?f=%3D%2016x%5E2%2B24x%2B9)