Solve this system of equations: 3x-2y=2 5x-5y=10
1 answer:
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For this case we must solve the following system of equations:
We multiply the first equation by -2:
We add the new equation with the second one:
We have different signs subtracted and the sign of the major is placed:
Now we find the value of the variable "y":
Thus, the solution of the system is given by:
Answer:
a. Jada got the measurement 16m.
b. The measured depth differ 0.2m from the actual depth.
c. There is a 12.66% error in calculation.
Step-by-step explanation:
Given,
The depth of lake = 15.8 m
a. Jada accurately measured the depth of the lake to the nearest meter. What measurement did Jada get
When a digit after the decimal point is 5 or more than that, the number before decimal is rounded to the next number.
Therefore,
15.8 rounded to nearest number is 16.
The depth of lake measured by Jada = 16 m
Jada got the measurement 16m.
b. By how many meters does the measured depth differ from the actual depth?
Difference = Approx - Exact
Difference = 16 - 15.8 = 0.2m
The measured depth differ 0.2m from the actual depth.
c. Express the measurement error ad a percentage of the actual depth.
Percent error =
Percent error =
Percent error = 12.66%
There is a 12.66% error in calculation.
Keywords: percent, error
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