Using a graphical method solve
7x+4y=10
5x+3y=7
To solve this system of equations graphically, we can first rewrite them in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
For the first equation:
7x + 4y = 10
4y = -7x + 10
y = -7x/4 + 10/4
y = -1.75x + 2.5
For the second equation:
5x + 3y = 7
3y = -5x + 7
y = -5x/3 + 7/3
y = -1.67x + 2.33
Now, we can graph both equations on the same coordinate plane and find the point where they intersect, which is the solution to the system of equations.
The graph of the first equation (blue line) y = -1.75x + 2.5 and the second equation (red line) y = -1.67x + 2.33 looks like this:
(Graph not provided)
The point where the lines intersect is approximately (1.17, 0.79). Therefore, the solution to the system of equations is x = 1.17 and y = 0.79.