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Answer:
Each pencil costs $0.07 and each eraser costs $0.03
Step-by-step explanation:
System of linear equations
It refers to the study of systems when n variables are related in m linear equations, each one is not independent from the others. Solving such systems can be done following very diverse approaches.
Let p=the price of each pencil while e is the price each eraser
Julio bought 4 pencils and 3 erasers, spending
David bought 3 pencils and 4 erasers, spending
The system of equations is written in the form
We'll solve it by reduction. Multiplying the first equation by -3 and the second by 4:
Adding both equations:
7e=0.21
e=0.03
Multiplying the first one by -4 and the second by 3
Adding both equations:
-7p=-0.49
p=0.07
Solution: Each pencil costs $0.07 and each eraser costs $0.03
your answer is x = 6
desmos
Answer:
$2500 at 8%.
$2900 st 5%.
Step-by-step explanation:
Let x be the amount invested at rate of 8% and y be the amount invested at the rate of 5%.
We have been given that Heather has divided $5400 between two investments. We can represent this information as:
The return on her investment is $345.
Earnings from the investment at 8% will be 8% of x.
Earnings from the investment at 5% will be 5% of y.
We will use substitution method to solve our system of equations. From equation (1) we will get,
Substituting this value in equation (2) we will get,
Therefore, Heather has invested an amount of $2900 at 5%.
Let us substitute y=2900 in equation (1) to solve for x.
Therefore, Heather has invested an amount of $2500 at 8%.