4a + 6b = 10
2a - 4b =12
what does 12a equal?

multiply second equation by 2 and rewrite

4a + 6b = 10

4a - 8b = 24

subtract equations

0 + 14b = -14

14b = -14

b = -1

sub back into 4a + 6b = 10 to find the value of a

4a + 6 (-1) = 10

4a - 6 = 10

4a = 16

a = 4

therefore, 12a = 12×4

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).