Question

Which best describes the relationship between the line with equation -5x - 8y=4 and -30 - 48y=24?

Answer 1

Equation 2 is 6 times the equation 1.

Explanation:

Given:

-5x - 8y = 4                       -1

-30x - 48y = 24                -2

The 2nd equation can be simplified in following steps:

-30x - 48y = 24

Dividing both left and right hand side by 2. We get

-15x - 24y = 12

Dividing the equation further by 3 on both the sides. We get

-5x - 8y = 4                       -3

We can see that on simplification of equation 2, it becomes same as equation 1.

Therefore, equation 2 is 6 times the equation 1.