Given :
Number of hours studied daily , 
.
Time given for science and mathematics is , 
.
To Find :
How much time does she devote for other subjects .
Solution :
Let , time devote for other student is x .
So , Time left for other subject = Total time - Time taken by science and mathematics .
Therefore , time devote for other subject is 
hours .
Hence , this is the required solution .
Use a calculator called symbolab.com
Answer:
A
Step-by-step explanation:
Start with variable x.
4x - 6y = 28
Substitute the variables for numbers.
4(1) - 6(-4) = 28
Solve the new equation
4 + -24 = 28
Move to the second equation with variable y.
8x - 4y = 24
Substitute variables
8(1) - 4(-4) = 24
Solve
8 - (-16) = 24
The answer is A, x = 1, y = -4
Answer:
The cost of an adult ticket is $12.50
Step-by-step explanation:
The given information are;
The cost of two adult tickets and three children tickets = $43.00
The cost of one adult ticket and one child ticket = $18.50
Whereby the cost of an adult ticket is represented by <em>x</em> and the cost of a child's ticket is represented by <em>y</em>, we get the following two simultaneous equations;
2·x + 3·y = 43.00...(1)
x + y = 18.5...(2)
(ii) Multiplying equation (2) by 2 and subtracting the result from equation (1) gives;
2·x + 3·y - 2×(x + y) = 43 - 2×18.5 = 6
2·x - 2·x + 3·y - 2·y = 0 + y = 6
∴ y = 6
The cost of each the children ticket = $6.00
From equation (2), where y = 6, we get;
x + y = 18.5
∴ x + 6 = 18.5
x = 18.5 - 6 = 12.5
The cost of an adult ticket, x = $12.50.
