What is the solution to the system of equations below? 2x-y=10 and y=-1/2x+5 (6, 2) (6, –2) (–6, –22) (–6, 8)

The correct answer is:

(x,y) = (6,2)

Option A would be the correct one.

The answer is (6, 2).

Step-by-step explanation:

This is a system of equations so we have to replace one equation in the other one, this is:

Eq. 1

Eq. 2

Replacing the Eq. 2 in the Eq. 1, we have:

Now we have that x=6, we can replace it in the Eq. 2:

Now y=2

From the above we have that the answer is (6, 2) expressed in Cartesian coordinates.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.