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Lerok [7]
3 years ago
7

Discussion for Applications of Linear Systems

Mathematics
1 answer:
Lostsunrise [7]3 years ago
6 0

Step-by-step explanation:

There are certain methods for solving a system of equations. Some of which are:

  • Substitution Method
  • Elimination Method
  • Graphing Method

<em>Substitution Method</em>

Substitution method to solve a system of equations is suitable if a variable of a any equation seems isolated or could comfortably be isolated without any ration/fraction resulting.

For example, for the following system of equations

x - 2y = 11....[A]

x = 5 - y....[B]

substituting the value of x = 5 - y from equation [B] into equation [A], so that

(5 - y) - 2y = 11

5 - y - 2y = 11

3y = -6

y = -2

<em>Elimination Method</em>

Elimination method to solve a system of equations is suitable if both equation are in standard form, and just adding or subtracting the equations to determine an equation in one variable.

For example, for the following system of equations

2x + 7y = -5....[C]

5x - 7y = 12....[D]

Adding Equation [C] and Equation [D].

7x + 0 = 7

x = 1

<em>Graphing Method</em>

Sometimes graphing method may be used to solve the system of the equation and visualize the solution.

For example,

y = -2....[E]

y = 3x + 1....[F]

The solution for this system of equation is the point of intersection of both the lines, which is shown in attached figure. The point of intersection is (-1, -2).

Hence, the solution of this system of equations is (-1, -2), as shown in attached figure.

<em>Keywords: system of equations, elimination method, substitution method, graphing method</em>

<em>Learn more about solution of system of equations from brainly.com/question/2643311</em>

<em>#learnwithBrainly</em>

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A quadrilateral has vertices A(4, 5), B(2, 4), Q4, 3), and D(6, 4). Which statement about the quadrilateral is true?
Igoryamba

The true statement about the quadrilateral is ABCD is a rhombus with non-perpendicular adjacent sides.

<h3>How to determine the true statement?</h3>

The coordinates are given as:

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See attachment

From the attached graph, we have the following highlights:

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This means that the quadrilateral is ABCD is a rhombus

Read more about quadrilateral at

brainly.com/question/4812739

#SPJ1

<u>Complete question</u>

A quadrilateral has vertices A(4, 5), B(2, 4), C(4, 3), and D(6, 4). Which statement about the quadrilateral is true?

1) ABCD is a parallelogram with noncongruent adjacent sides.

2) ABCD is a trapezoid with only one pair of parallel sides.

3) ABCD is a rectangle with noncongruent adjacent sides.

4) ABCD is a square.

5) ABCD is a rhombus with non-perpendicular adjacent sides.

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