Solve by using elimination 7) -6x – 8y = -30
4x + 2y = 20

x = 5 , y = 0

Step-by-step explanation by elimination:

Solve the following system:

{-6 x - 8 y = -30 | (equation 1)

4 x + 2 y = 20 | (equation 2)

Add 2/3 × (equation 1) to equation 2:

{-(6 x) - 8 y = -30 | (equation 1)

0 x - (10 y)/3 = 0 | (equation 2)

Divide equation 1 by -2:

{3 x + 4 y = 15 | (equation 1)

0 x - (10 y)/3 = 0 | (equation 2)

Multiply equation 2 by 3/10:

{3 x + 4 y = 15 | (equation 1)

0 x - y = 0 | (equation 2)

Multiply equation 2 by -1:

{3 x + 4 y = 15 | (equation 1)

0 x+y = 0 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{3 x+0 y = 15 | (equation 1)

0 x+y = 0 | (equation 2)

Divide equation 1 by 3:

{x+0 y = 5 | (equation 1)

0 x+y = 0 | (equation 2)

Collect results:

 {x = 5 , y = 0

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).