Solve using elimination 5x-4y=-21 -2x+4y=18

x=-1, y=4

Step-by-step explanation:

When we solve by elimination, we are getting rid of one variable, in this case y.  We will add the two equations together.

5x-4y=-21

-2x+4y=18

3x  = -3

Divide each side by 3

3x/3 =-3/3

x =-1

Now we need to calculate y

-2x +4y = 18

Substitute x=-1

-2(-1)+4y = 18

2+4y =18

Subtract 2 from each side

4y = 18-2

4y=16

Divide each side by 4

4y=16/4

y =4

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).