Question

Using the graphing function on your calculator, find the solution to the system

of equations shown below.
3y - 9x = -6
5y - 15x = -10
A. More than 1 solution
O B. x = -15, y = 5
O C. X=-9, y = 3
O D. No solution
SUBMIT

Answer 1

Infinite

Explanation:

Here are a system of how two equations can be classified ;

• If the gradients are the same but the y-intercepts are different, the system has no solution.

• If the gradients are different, the system has one solution.

• If the gradients are the same and the y-intercepts are the same, the system has infinitely many solutions.

Here is the proof.

3y - 9x = -6

5y - 15x = -10

In

3y - 9x = -6

When x =1

y= 1

When x=3

y= 7

Gradient of 3y - 9x = -6

=∆y/∆x

= (7-1)/ ( 3-1)

=(6)÷ 2

= 3

5y - 15x = -10

When x= 1

y = 1

When x=3

Y=7

Gradient of 5y - 15x = -10

=∆y/∆x

= (7-1)/ ( 3-1)

=(6)÷ 2

= 3

Since the gradients are the same the system has infinitely many solutions.