What is 2x+y=12 and 3x-18=y which are linear equations but need to be solved by elimination

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Step-by-step explanation:

x=6,y=0

Step-by-step explanation:

2x+y=12

3x-y=18

5x=30

x=6

6(3)-y=18

18-y=18

y=0

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