5. Solve the system of equations using the Elimination Method. *
2x + y = 6
2x + y = -7

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Step-by-step explanation:

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They would have no points overlapping. if we solve for the first equation we will get  

y=-2x-6

We see that both equations have -2 as their slope. The rule is that a solution to a system is where the lines will intersect. Given the equations have the same slope they can be seen as parallel and thus have no point of intersection.

Therefore no solutions possible.

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

2: 10

step-by-step explanation: