Question

Solve this system of equations by graphing. First graph the equations, and then type the solution.y=1/3x+4y=–5/6x–3

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

y = 1/3 x + 4 eq.1

y = –5/6 x - 3 eq.2

Step 02:

system of equations:

graph:

eq.1:

y = 1/3 x + 4

x = 0, y:

y = 1/3 * 0 + 4 = 0 + 4 = 4

(0, 4) ===> point 1

x = 3, y:

y = 1/3 * 3 + 4 = (1*3)/3 + 4 = 1 + 4 = 5

(3 , 5) ====> point 2

eq.2:

y = –5/6 x – 3

x = 0, y:

y = –5/6 * 0 - 3 = 0 - 3 = - 3

(0 , -3) ===> point 1

x = 6, y:

y = –5/6 * 6 - 3 = (- 5*6)/6 - 3 = - 5 - 3 = - 8

(6 , -8) ===> point 2

graph:

The answer is:

(- 6, 2)