Question

Решить графически 2x-y=4, x+2y=3​

Answer 1

Ответ: x=11/5

у=2/5

Объяснение:

Answer 2

To solve the system of linear equations graphically, we will plot the two lines and find their point of intersection, which represents the solution to the system.

The given equations are:

1. 2x - y = 4
2. x + 2y = 3

To graph these equations, let's rewrite them in slope-intercept form (y = mx + b):

1. 2x - y = 4 y = 2x - 4

2. x + 2y = 3 2y = -x + 3 y = -0.5x + 1.5

Now, we'll plot these lines on a graph:

Step 1: Create a coordinate system. Step 2: Plot the y-intercept of each line. Step 3: Use the slope to find additional points to draw the lines. Step 4: Draw the lines on the graph.

Let's plot the lines:

The first line, y = 2x - 4:

• y-intercept: (0, -4)
• Slope: 2 (rise 2 units, run 1 unit)

Now, let's find two more points for this line:

• x = 1: y = 2(1) - 4 = -2
• x = -1: y = 2(-1) - 4 = -6

The second line, y = -0.5x + 1.5:

• y-intercept: (0, 1.5)
• Slope: -0.5 (rise -0.5 units, run 1 unit)

Let's find two more points for this line:

• x = 1: y = -0.5(1) + 1.5 = 1
• x = -1: y = -0.5(-1) + 1.5 = 2

Now, let's plot these points and draw the lines:

Graph:

markdownCopy code
   | 
 4 |     . (1, 2)
   |       .
 3 |          . (1, 1)
   |            .
 2 |     . 
   |       . 
 1 |  . 
   |    . 
 0 |________________
     0   1   2   3   4

The two lines intersect at the point (1, 1). This means that the solution to the system of equations is x = 1 and y = 1.