6x+10y+7=30 10x+6y+5=61 solve this by grafical method?

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Answer

Graphical Method to Solve Equations:

Plotting the Equations: Start by plotting the given equations on a graph. To do this, rearrange the equations in the form y = mx + c. For example, the first equation becomes y = (-6/10)x + (30-7)/10 = -0.6x + 2.3.
Draw the Lines: Plot the two equations on the graph, and draw the lines corresponding to each equation. The point where the two lines intersect is the solution to the system of equations.
Finding the Intersection: Locate the point where the two lines intersect. This point represents the values of x and y that satisfy both equations simultaneously.
Calculating the Solution: Once you have found the point of intersection, read off the values of x and y at that point. These values are the solution to the system of equations.

Applying the Method to the Given Equations:

Equation 1: 6x + 10y + 7 = 30 can be rearranged as y = (-6/10)x + (30-7)/10 = -0.6x + 2.3.
Equation 2: 10x + 6y + 5 = 61 can be rearranged as y = (-10/6)x + (61-5)/6 = -1.67x + 9.33.
Plotting the Equations: Plot both equations on the graph and draw the corresponding lines.
Locating the Intersection: Find the point where the two lines intersect, which gives the values of x and y that satisfy both equations.
Calculating the Solution: Read off the values of x and y at the point of intersection to determine the solution to the system of equations.