{x + 4y = 13
{x – y = 3

x = 5 and value of y = 2

Step-by-step explanation:

using substitution method

let;

x + 4y = 13 equation 1

x - y = 3 equation 2

from equation 2

x - y = 3 eqn 2

x = y + 3 equation 3

put x = y + 3 in equation 1

x + 4y = 13 equation 1

y + 3 + 4y = 13

5y = 13 - 3

5y = 10

divide both sides by 5

i.e

5y/5 = 10/5

y = 2

sustitue for y  = 2 in equation 3

x = y + 3 equation 3

x = 2 + 3

x = 5

therefore the value of x = 5 and value of y = 2

to check if your answwer is correct slot in the value of x and y in any of the equation . e.g

from equation 3

x = y + 3 equation 3

5= 2 + 3

5 =5 proved

the answer to the expression is 83

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).