Answer:
The point of intersection is (2,5)
Explanation:
To get the point of intersection, we would need to solve the two equations simultaneously. This is because, the point of intersection satisfies both equations.
The first given equation is:
25x + 10y = 100 ..........> equation I
The second given equation is:
10x + 20y = 120
Divide all terms by 10 to simplify, this would given us:
x + 2y = 12
This equation can be rewritten as:
x = 12 - 2y ...........> equation II
Substitute with equation I in equation II and solve for y as follows:
25x + 10y = 100
25(12-2y) + 10y = 100
300 - 50y + 10y = 100
300 - 40y = 100
300 - 100 = 40y
40y = 200
y = 200 / 40
y = 5
Substitute with y in equation II to get x as follows:
x = 12 - 2y
x = 12 - 2(5)
x = 12 - 10
x = 2
Based on the above, the solution to the system of equations which also represents the point of intersection between the two lines would be (2,5)
Hope this helps :)
Answer:
f(2)= -2
g(2)= 12
Step-by-step explanation:
To solve this we use the substitution method. Since f(2) is your variable, we will plug the x-value of 2 into each equation
f(2)= 2(2)^2-5(2)
f(2)=8-10
f(2)= -2
If the same variable is used for both equations then g(x) would be g(2) as well leaving you with
g(x) = 3x^2
g(2)= 3(2)^2
g(2)=12
Answer:
15
Step-by-step explanation:
60 divided by 4
Divide each term by 3...
15n - 8 = 3(5n - 6)
