Find the x intercepts of the graph of -6x + 5y =24. State your answers as while numbers or as improper fractions in simplest form.

x-intercept: -4

y-intercept: 24/5

Step-by-step explanation:

Firstly you have to isolate the y:

-6x + 5y = 24

5y = 6x + 24

y = (6x +24)/5

Now, just think about the graph: when the function touch the x-axis, the value of y is equal to 0, and when the function touch the y-axis, the value of x is 0, so just put they in the function:

y = (6•0 + 24)/5

y = 24/5

0 = (6x + 24)/5

5•0 = 6x +24

0 = 6x +24

-6x = 24

x = 24/-6

x = -4

2.4

Step-by-step explanation:

Smaller sheet length = 10u

Smaller sheet width = 10u

Smaller sheet area = 10u * 10u = 100u^2

Larger sheet length = 1.5 * 10u = 15u

Larger sheet width = 1.6 * 10u = 16u

Larger sheet area = 16u * 15u = 240u^2

240u^2 / 100u^2 = 2.4