Reggie

2021-02-27

The system of equation

Given: The linear equations is

lobeflepnoumni

Skilled2021-02-28Added 99 answers

Calculation:

The first equation is given below.

The second equation is given below

Step 1:

Write the equation (1) in slope-intercept standard form as follows:

Compare the equation

Therefore, the value of slope m is -2 and c is 1.

Thus, the value of y-intercept (0, c) is (0, 1).

Subtitute 0 for y in equation

Therefore, the x-intercept is

Join the points (0, 1) and

Step 2:

Write the equation (2) in slope-intercept standard form as follows:

Compare the equation

.

Therefore, the value of slope m is -2 and c is

Thus, the value of y-intercept (0, c) is

Substitute 0 for y in equation

Thus, the x-intercept is

Join the points

Step 3:

From Figure 2, it is observed that there is no point of intersection of lines.

Therefore, the lines never meet and are parallel to each so the system has no solution in the systems of linear equations.

Thus, the system is inconsistent and the system has no solution as shown below in Figure 2.