8x+2y=2
y=-5x+3

,7) b.(2,7)

c. no solution d.(0,-8)

(2,-7)

Step-by-step explanation:

Solve for x.

Plug in the value for y into the equation.

y=-5x+3

8x+2y=2

8x + 2(-5x+3)=2

8x-10x+6=2

         -6   -6

8x-10x = 2-6

8x-10x = -4

-2x = -4

÷ -2  ÷ -2

x = 2

Solve for y.

Plug in the value for x into the equation.

8x+2y=2

8(2) + 2y=2

16 + 2y = 2

- 16        - 16

2y = 2 - 16

2y = -14

÷ 2    ÷2

y = -7

Solve.

Determine if x and y values work.

8(2)+2(-7)=2

16-14=2

2=2

x and y values work so the answer is: (2,-7)

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).