The given system of equations is expressed as
y = - 3x/2 + 6
y = 5x - 7
We would input values for x into each equation and get corresponding y values.
For the first equation,
If x = 0, y = - 3 * 0/2 + 6 = 6
If x = 1, y = - 3 * 1/2 + 6 = 4.5
If x = 2, y = - 3 * 2/2 + 6 = 3
For the second equation,
If x = 0, y = 5 * 0 - 7 = - 7
If x = 1, y = 5 * 1 - 7 = - 2
If x = 2, y = -5 *2 - 7 = 3
These values are plotted on a graph as shown below. The coordinates of the point where both lines meet represesnt the solution of the equation.
At the point where they meet, x = 2, y = 3
Thus, the solution is (2, 3)
