1/2 x + y = 8 and 2y = x + 14 pls show your work thx
1 answer:
9514 1404 393
Answer:
(x, y) = (1, 7.5)
Step-by-step explanation:
Solve the first equation for y, then substitute into the second equation.
y = 8 -1/2x . . . . . subtract 1/2x
2(8 -1/2x) = x +14
16 -x = x + 14 . . .eliminate parentheses
2 = 2x . . . . . . . add x-14
1 = x . . . . . . . . divide by 2
y = 8 -1/2(1) = 7 1/2
The solution is (x, y) = (1, 7 1/2).
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<em>Alternate solution</em>
Type the equations into a graphing calculator and let it show you the solution.
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let the number of
- adults be x
- children be y
Total number of people : adults + children
- x + y = 240
- x = 240 - y - [1]
Total money earned from adults :
- 6 × x = 6x
Total money earned from children :
- 2 × y = 2y
Therefore, total money = money earned from each Adult and children.
- 6x + 2y = 1200 -[2]
Now, let's plug the value of x from equation [1] into equation [2]
- 6 (240 - y) + 2y = 1200
- 1440 - 6y + 2y = 1200
- -4y = 1200 - 1440
- -4y = - 240
- y = 60
let's plug the value of y in equation [1]
- x = 240 - y
- x = 240 - 60
- x = 180
Hence, we get :
- total adults = x = 180
- total children = y = 60
Correct option is C
_____________________________
Given that:
(x+2)(2x-5)=54
We have:
Using the quadratic formula, this is approximately 5.66, so rounded to the nearest whole number, our answer is 6.
(x+2)(2x-5)=54
We have:
Using the quadratic formula, this is approximately 5.66, so rounded to the nearest whole number, our answer is 6.