Which is the best method for solving the system? and explain why it is the best
1 answer:
Answer:
b: elimination
Step-by-step explanation:
My vote is for elimination, though any of these methods (and some not listed) will get an answer quickly.
Subtracting the second equation from twice the first gives ...
2(9x +8y) -(18x -15y) = 2(7) -(14)
31y = 0 . . . simplify
y = 0 . . . . . divide by 31 (or invoke the zero-product rule)
Then the value of x can be found from the first equation:
9x = 7
x = 7/9
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I like this method because it tells you that y=0 in one step. (Graphing does the same.) For the numbers here, you can do it mentally. Once you recognize that the x-coefficients and the constants are related by the same factor, and that factor is different for the y-coefficients, it becomes apparent that elimination will immediately tell you that y=0.
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Answer:
We kindly invite you to see the image attached for further details.
Step-by-step explanation:
From Analytical Geometry we get that linear functions can be found after knowing a point and its slope. The standard form of a linear function is represented by the following formula:
(Eq. 1)
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Slope, dimensionless.
- y-Intercept, dimensionless.
At first we need to calculate the y-Intercept, which is cleared within (Eq. 1):
If we know that ,
and
, then the y-Intercept of the linear function is:
Line with a slope of that goes through the point (2, 1) is represented by
.
Lastly, we graph the line by using a plotting software (i.e. Desmos), whose result is included below as attachment.
