Answer:
The point of intersection gives the solution set(s) of the associated system.
Step-by-step explanation:
If we have a pair of simultaneous equations in 2 variables in x and y, then the point of intersection is the ordered pair (x,y).
This could be a unique intersection, only one point or infinitely many intersection.
This gives us the solution of the simultaneous equations.
Therefore the significance of the point of intersection of a pair of simultaneous equations is that, it gives us the solution set(s) of the associated system.
Start by dividing both sides by 2:
5x + 6 = 5x + 6
Simplify:
0 = 0
This indicates infinite solutions:
x = All real numbers.
Answer:
3/8 cup of butter
Step-by-step explanation:
1/4 / 2 = 1/8
1/8x3=3/8
Length of the rectangle 11 cm, width 3X, find the perimeter of the rectangle.
The perimeter of a rectangle is calculated by adding its four sides that are equal two to two.
Perimeter = 2*Length + 2*width = 2*11cm +2*3Xcm = 22cm + 6*Xcm
Answer : perimeter = 22cm + 6*Xcm
Hope this helps!
To answer this question you will set up a system of equations to represent each scenario. Solve for one variable and substitute that in to the other equation to find the missing value. This example will have you solving for p, the price of popcorn.
4p + 3s = 13.50 and 2p + 5s = 12
2p + 5s = 12
-2p -2p
5s = 12 - 2p
5 5
s = 2.4 - 0.4p
4p + 3s = 13.50
4p + 3(2.4 - 0.4p) = 13.50
4p +7.2 - 1.2p = 13.5
2.8p +7.2 = 13.5
-7.2 -7.2
<u>2.8p</u> = <u>6.3</u>
2.8 2.8
p = 2.25
The price of popcorn is 2.25 and the soda is (2.4 - 0.4 x 2.25) $1.50.
5 popcorn and 2 sodas will cost (2.25 x 5 + 1.50 x 2) = $14.25.