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Olin [163]
3 years ago
12

If you were asked to solve a system of linear equations using the substitution method, in what form would one or both of the equ

ations start as that would make the problem the simplest?
Select one:
A. point-slope form
B. standard form
C. slope-intercept form
D. point-intercept form
Mathematics
2 answers:
Leni [432]3 years ago
7 0

The correct answer is: slope-intercept form

Step-by-step explanation:

Step 1

Recall that the first step in solving a system of linear equations using the substitution method is to solve one of the equations for one of its variables.

Of all the forms listed, only the slope-intercept form of an equation automatically has one of its variables solved-for (point-intercept form is not a real form). This means that if one of the equations in a system is already in slope-intercept form, then the first step can be skipped in using the substitution method.

Step 2

Match your solution to the correct answer choice.

Answer choice C is the only answer choice that identifies the form of linear equation that is the simplest to start when using the substitution method. Select answer choice C and move on to the next question.

xxTIMURxx [149]3 years ago
3 0

Answer:

  A. point-slope form

Step-by-step explanation:

In general, the equation in point-slope form will give an expression that can substitute for "y", as that form is ...

  y = [something]

_____

In specific instances, the other forms of the linear equations may work, but that is not guaranteed.

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Two lines or equations are described in each part. Decide whether each system has one solution, no solution, or infinitely many
olga55 [171]
To get the solution of a set of equations means to get a point that satisfies both equations.

Part (1):
The first line has a rate of change of 7, this means that slope of first line is 7
The second line has a rate of change of -7, this means that slope of second line is -7
Since the slope of the first line = - slope of the second line, then these two lines are definitely perpendicular to each other.
Two perpendicular lines will meet only in one point. This means that one point only will satisfy both equations (check the image showing perpendicular lines attached below)
Therefore, only one solution exists in this case

Part (2): 
The first given equation is:
2x + 3y = 5.5
The second given equation is:
4x + 6y = 11
If we simplified the second equation we will get: 2x + 3y = 5.5 which is exactly similar to the first equation.
This means that the two given equations represent the same line. 
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Part (3):
We are given that the two lines are parallel. This means that the two lines are moving the same path side by side. Two parallel lines can never intersect. This means that no point can satisfy both equations (check the image showing parallel lines attached below).
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7 0
3 years ago
Read 2 more answers
The circumference of the inner circle is 44 ft. The distance between the inner circle and the outer circle is 3 ft. By how many
Citrus2011 [14]

Answer: 18.86 feet

Step-by-step explanation:

The formula for determining the circumference of a circle is expressed as

Circumference = πD

Where D represents the diameter of the circle.

The circumference of the inner circle is 44 ft. It means that

22/7 × D = 44

22D = 7 × 44 = 308

D = 308/22

D = 14 ft

The distance between the inner circle and the outer circle is 3 ft. This means that the diameter of the outer circle would be

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Circumference of the outer circle is

22/7 × 20 = 62.86 ft

The number of feet by which the circumference of outer circle is greater than the circumference of the inner circle is

62.86 - 44 = 18.86 feet

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3 years ago
What is the graph of x^2/9-y^2/4=1
adell [148]

Answer:

A is the answer.

3 0
2 years ago
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