Solve the system of equations by graphing. Check your solution. 5x+y=14 2x-y=7
1 answer:
ANSWER
(3,-1)
EXPLANATION
The given system of equations is :
5x+y=14
2x-y=7
For the first equation when x=0,
5(0)+y=14
y=14
The y-intercept is (0,14).
When y=0, 5x+0=14
The x-intercept is (2.8,0).
We plot the intercepts and draw a straight line through them to obtain the graph of 5x+y=14 as shown in the attachment.
We repeat the same process for the second equation 2x-y=7.
The intercepts are (0,-7) and (3.5,0)
The solution to the system is the point of intersection of the two straight lines.
The two straight lines intersected at
(3,-1)
Hence x=2, y=-1
(3,-1)
EXPLANATION
The given system of equations is :
5x+y=14
2x-y=7
For the first equation when x=0,
5(0)+y=14
y=14
The y-intercept is (0,14).
When y=0, 5x+0=14
The x-intercept is (2.8,0).
We plot the intercepts and draw a straight line through them to obtain the graph of 5x+y=14 as shown in the attachment.
We repeat the same process for the second equation 2x-y=7.
The intercepts are (0,-7) and (3.5,0)
The solution to the system is the point of intersection of the two straight lines.
The two straight lines intersected at
(3,-1)
Hence x=2, y=-1
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Answer:
When Jon determined A(12), it means he must have found the amount in the account after 12 years. i.e. the amount when t = 12 years.
Hence, option (A) is true.
Step-by-step explanation:
<u><em>BACKGROUND KNOWLEDGE ABOUT EXPONENTIAL GROWTH</em></u>
We know that an exponential increase in Math can be termed as the rapid increase of an amount by percentage over a certain period of time.
It can be expressed using the formula
y = a (1+b)ˣ
here
y represents the final amount
a represents the original amount
b represents the growth factor
x represents the time that has passed
Now, let is us map our problem because it indicates the same concept.
<em><u>SOLVING THE QUESTION</u></em>
Given the function
Here
A(t) represents the final amount
2000 represents the original amount
0.0412 represents the growth rate
t represents the number of years
Thus,
When Jon determined A(12), it means he must have found the amount in the account after 12 years. i.e. the amount when t = 12 years.
Hence, option (A) is true.