Question

СРОЧНОООО у-2х=4 х-3у=-2 решите систему графическим способом

Answer 1

Построить  графики  функций у=2х+4     х      -2  -1    0    1 
                                                                   у       0   2     4    6
                                            у=1/3х+2/3      х -3  -2  -1     0    1
                                                                    у-1/3  0  1/3 2/3   1
Графики пересекутся в точке О (-2;0) 
Это подтверждается решением системы ур-ний

Answer 2

Solving the System of Equations Graphically

To solve the system of equations -2x = 4 and x - 3y = -2 graphically, we can plot the equations on a coordinate plane and find the point of intersection. This point represents the solution to the system.

Let's start by rearranging the equations in slope-intercept form, which is y = mx + b:

Equation 1: -2x = 4 - Divide both sides by -2: x = -2

Equation 2: x - 3y = -2 - Subtract x from both sides: -3y = -x - 2 - Divide both sides by -3: y = (1/3)x + 2/3

Now, we can plot the two equations on a graph:

Equation 1: x = -2 - This is a vertical line passing through the point (-2, 0).

Equation 2: y = (1/3)x + 2/3 - This is a line with a slope of 1/3 and a y-intercept of 2/3.

By plotting these lines on a graph, we can find the point of intersection, which represents the solution to the system.

Unfortunately, I am unable to provide a visual representation of the graph here. However, you can plot the lines on a graphing calculator or graphing software to find the point of intersection.

Please let me know if there's anything else I can help you with!