Graph the system of equations on your graph paper to answer the question. {y=x−4 y=−x+6 what is the solution for this system of equations? enter your answer in the boxes.

The first line is y=x-4

Let x=0, we get y=-4 our first coordinate is (0,-4)

Let y=0, we get x=4, second coordinate is (4,0)

Plot the given coordinates on the graph paper, join the line passing through these points as shown in the attached image.

The second line is y=-x+6

Let x=0, we get y=6 our first coordinate is (0,6)

Let y=0, we get x=6, second coordinate is (6,0)

In the similar manner, plot the given coordinates on the graph paper,join the line passing through these points as shown in the attached image.

The solution of the given system of equations is the point of intersection of both the lines which is (5,1). The point of intersection can be seen in the attached image.

a 360 degree rotation

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4