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Anna71 [15]
3 years ago
9

When you eliminate y What is the resulting equation of 2x+y-4=0 and 2x-y-4=0

Mathematics
1 answer:
anastassius [24]3 years ago
6 0
\begin{cases} 2x+y-4=0 \\ 2x-y-4=0\end{cases}\\ + \ \ -------\\ 4x-8=0\\ \\4x=8 \ \ /:4\\ \\x=\frac{8}{4}\\ \\x=2

2x+y-4=0\\ \\ 2*2+y-4=0\\ \\ 4+y -4 =0\\ \\y=0\\ \\\begin{cases} x=2 \\ y=0\end{cases}
 

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To do solve this you must isolate x. First subtract 16 to both sides (what you do on one side you must do to the other). Since 16 is being added to x, subtraction (the opposite of addition) will cancel it out (make it zero) from the left side and bring it over to the right side.

x + (16 - 16) = 24 - 16

x = 8

Check:

8 + 16 = 24

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