Question

Graph the lines of the system.

25x10y = 15
9x + 6y = 3

The solution is x = 1/2

y= 1/4

What is the coordinates to graph?

What is the slope intercept?

Answer 1

Explanation:

25x+10y=15
9x+6y=3

dividing the first equation by 5, you get 5x+2y=2
dividing the second equation by 3, you get 3x+2y=1

to find the y intercept, substitute 0 for x
5(0) + 2y = 2 ; y =1 (intercept at 0,1)
3(0) + 2y = 1 ; y = 1/2 (intercept at 0,1/2)

to find the x intercept, subtitutue 0 for y
5x + 2(0) = 2; x = 2/5 (intercept at 2/5. 0)
3x + 2(0) = 1; x = 1/3 (intercept at 1/3, 0)

to find slope,
5x+2y =2
2y = -5x +2
y = -5/2x + 1
slope = -5/2

3x+2y=1
2y = -3x + 1 |
y= -3/2x +1/2
slope = -3/2