Question

(2x - y = 8, |3x + y = 12; графічний спосіб

Answer 1

Ответ:

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Answer 2

I can help you solve this system of equations by the graphical method. Here are the steps:

1. Rewrite each equation in the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. 2. For the first equation, 2x - y = 8, subtract 2x from both sides and divide by -1 to get y = 2x - 8. The slope is 2 and the y-intercept is -8. 3. For the second equation, |3x + y = 12, subtract 3x from both sides and divide by | to get y = -3x + 12. The slope is -3 and the y-intercept is 12. 4. Plot the y-intercepts of each equation on a coordinate plane and use the slopes to draw the lines. You can use an online graphing calculator or Microsoft Math Solver to do this. 5. The point where the lines intersect is the solution of the system. You can find the coordinates of this point by solving the equations simultaneously or by using a graphing tool. The solution is (2, -4).

Here is a summary of the solution:

The system of equations is 2x - y = 8 and |3x + y = 12. The solution is (2, -4). This means that x = 2 and y = -4 satisfy both equations. You can check this by plugging in the values into the original equations. The graphical method involves rewriting the equations in the slope-intercept form, plotting the lines on a coordinate plane, and finding the point of intersection. The point of intersection is the solution of the system.

I hope this helps you understand how to solve systems of equations by the graphical method. If you have any other questions, feel free to ask me.

Answer 3

Task: Solve the system of equations using the graphical method

To solve the system of equations 2x - y = 8 and 3x + y = 12 using the graphical method, we can plot the two equations on a graph and find the point of intersection, which represents the solution to the system.

Let's solve the system step by step:

1. Solve the first equation for y: 2x - y = 8 Rearranging the equation, we get: y = 2x - 8

2. Solve the second equation for y: 3x + y = 12 Rearranging the equation, we get: y = -3x + 12

3. Plot the two equations on a graph: - Choose a range of x-values and substitute them into the equations to find the corresponding y-values. - Plot the points on the graph.

Here is a graph showing the two equations:

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