Answer:
(7, 2 )
Step-by-step explanation:
Given the 2 equations
3x - 2y = 17 → (1)
x - 3y = 1 → (2)
Rearrange (2) expressing x in terms of y by adding 3y to both sides
x = 1 + 3y → (3)
Substitute x = 1 + 3y in (1)
3(1 + 3y) - 2y = 17 ← distribute and simplify left side
3 + 9y - 2y = 17
3 + 7y = 17 ( subtract 3 from both sides )
7y = 14 ( divide both sides by 7 )
y = 2
Substitute y = 2 into (3) for corresponding value of x
x = 1 + 3(2) = 1 + 6 = 7
Solution is (7, 2 )
7x = 40
7x + 4y = 40
The first equation represents that in total, the 7 tickets whether they are for adults or children costs $40.
The second equation represents that x = adult and y = children tickets both add up to equal $40.
Let the be the time in hours, and meters of fencing completed.
We know that After three hours, they have 15 meters of fencing complete, our graph will go from the point (0,0) to the point (3,15). We also know that they decide to take a 2-hour break for lunch and then resume building the fence, so our graph will go from the point (3,15) to the the point (5,15). Finally, After four more hours, they have a fence that is a total of 55 meters long, so the final part of our graph will go from the point (5,15) to the point (9,55)
We can conclude that the graph of t vs y is:
<h2>
Area of rectangular board is 1920000 square millimeters</h2>
Step-by-step explanation:
A rectangular board is 1.6 meters long and 1.2 meters wide.
Here we need to find the area of the board in square millimeters.
Length = 1.6 m= 1.6 x 1000 = 1600 mm
Width = 1.2 m= 1.2 x 1000 = 1200 mm
Area = Length x Width
Area = 1600 x 1200
Area = 1920000 square millimeters
Area of rectangular board is 1920000 square millimeters