Select the best method of finding an accurate solution to a system of linear equations

Mathematics

2 answers:

Lemur [1.5K]3 years ago

6 0

If accuracy is important, then by all means go with algebraic methods.

Flura [38]3 years ago

4 0

The best method for solving the system of linear equation is by the use of algebraic methods.

The system of linear equations can be solved by using the method of simultaneous equations. Here we are given two equations and two unknown variables. We can solve the same by eliminating one of the variables and then either adding or subtracting, find the value of the other variable. Once we know the value of one variable, then we can substitute its value in any one given equation and find the second variable. This method is said to be accurate and does not involve any error.

Hence answer is : USE ALGEBRAIC METHODS

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Part A: Eveline rented a car at $180 for 4 days. If she rents the same car for 9 days, she has to pay a total rent of $325. Writ

QveST [7]

Answer:

Step-by-step explanation:

Part A

We will use the slope intercept form of the line and then convert later.

Equation

y = mx + b is the general form

Givens

Two data points

(4,180)

(9,325)

Solution

325 = 9x + b

180 = 4x + b Subtract

145 = 5x Divide by 5

145/5 = 5x/5 Do the division

29 = x This represents the cost / day

180 = 4x + b Substitute x = 29 to find b

180 = 4*29 + b Combine

180 = 116 + b Subtract 116 from both sides.

180 - 116 = b

64 = b

Solution for y = mx + b

y = 29x + 64

In Standard form this is

- 29x + y = 64 But the first number must be plus

29x - y = - 64 <<<< Answer A

Part B

y = 29x + 64

f(x) = 29x + 64

Part C

The graph is shown below. Various points are filled in using y = 29x + 64. The y intercept is (0,64) which is labeled. Let x = 1 , 2, 3, 4, ... 10 (which is arbitrary). This may be more easily done on a spreadsheet if you know how to use one to make graphs.