Respuesta :

Answer:

no solution

Step-by-step explanation:

x+3y =9

Solve for y

Subtract x from each side

3y = -x +9

Divide by 3

3y/3  = - 1/3x +9/3

y = -1/3x +3

The y intercept is 3 and the slope is -1/3

3x+9y = 45

Subtract 3x from each side

9y = -3x +45

Divide each side by 9

y = -3/9 x +45/9

y = -1/3x +5

The y intercept is 5 and the slope is -1/3

There is no solution

The lines are parallel (same slope) but the y intercepts are different

Answer:

x + 3y = 9

Plot using:

(9,0) and (0,3)

3x + 9y = 45

Plot using:

(15,0) and (0,5)

You'll see the two lines are parallel, hence they will never meet.

So no solution