To find if a point is a solution to a system of equations, we need to plug in the x and y values of the point into each equation, and see if the equation is true.
Let's plug it into the first equation first:
-2(3) - 4(-2) might = 2
-6 + 8 = 2
The first equation is true.
Now, we need to check the second equation:
3(3) + 4(-2) might =8
9 - 8 does not = 8
Therefore, even if the point satisfies one equation, it does not satisfy the other. We can conclude that this is not a solution.
Hope this helps!
<u>Part 1</u>
The value of y is twice that of x, so the equation is y = 2x.
<u>Part 2</u>
Substituting in x = 14, we get y = 2(14) = 28.
Answer:
the number of child plates and adults plates were served is 125 and 155 respectively
Step-by-step explanation:
Let us assume the child plate be x
And, the adult plates be y
Now according to the question
x + y = 280 .................(1)
2.60x + 9.50y = 1797.50 .............(2)
Now multiply by 2.60x in equation (1)
2.60x + 2.60y = 728
2.60x + 9.50y = 1797.50
-6.90y = -1069.50
y = 155
So, x = 280 - 155
= 125
hence, the number of child plates and adults plates were served is 125 and 155 respectively
Answer:
x = 5
Step-by-step explanation:
2⁴(2x) = 2⁵(x + 3)
2^8× = 2^5x + 15
cancel out the 2
8x = 5x + 15
8x - 5x = 15
3x = 15
divide through by 3
x = 5
Find: 1) the area of a circle of diamter 5 feet and radius 5/2 feet.
2) the area of a triangle with height 4 ft and base 6 ft.
Add these 2 results together: pi*(5/2)^2 + (1/2)(6)(4) ft
The trick here is to recognize basic shapes, find their areas separately and add the results.
