Question

Solve the system of linear equations by graphing.

Answer 1

Put both of those equations into slope intercept form (in order to be typed into the graphing calculator).

2x + 3y = 16.9
3y = -2x + 16.9
y = (-2/3)x + 16.9/3

5x = y + 7.4
5x - 7.4 = y

So in the graphing calculator,
Y1 = (-2/3)x + 16.9/3
Y2 = 5x - 7.4

Then find the point of intersection and the x value of that would be the solution.
You get the coordinate (2.3, 4.1). So x = 2.3, y = 4.1

Answer 2

Answer: x = 2.3 and y = 4.1

Step-by-step explanation:

Here the given system of equation,

2x + 3y = 16.9,  

5x = y + 7.4        

For graphing the lines :

Since the x-intercept and y-intercept of the line 2x + 3y = 16.9 are (8.45,0) and (0,16.9/3) respectively.

Similarly, the x-intercept and y-intercept of the line 5x = y + 7.4 are (1.48,0) and (0,-7.4) respectively.

After plotting the line in the graph (shown below), we found that, the intersection point of the lines is (2.3, 4.1)

Hence, The solution of the given system is x = 2.3 and y = 4.1