Question

Using graphical method, solve the following system of equations:

3x − 2y = 10 and 5x + 3y = 4

Answer 1

   

The given system of equations is:

1. 3x − 2y = 10
2. 5x + 3y = 4

Convert Equations into Slope-Intercept Form

Equation 1: `y=(3x-10)/2`

Equation 2: `y=(-5x+4)/3`

The graph of both equations is plotted, and the point of intersection is determined.

Solving the system algebraically, we get:

x = 2, y = −2