True or Lie

Algebra Level 1

True or False?

The equation below holds true when x = 2 x=2 and y = 3 y=3 .

5 x + 2 − x + 4 y + 8 − 7 x + 5 ( 2 + 5 ) = 5 y + 7 ( 2 ) − 5 ( 1 ) + 5 − 8 / 2 5x+2-x+4y+8-7x+5(2+5)=5y+7(2)-5(1)+5-8/2

True False

Noah Smalls by Noah Smalls , 17, USA

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1 solution

Noah Smalls
Nov 28, 2016

Think about... First. Substitute the variable x=2 and y=3.

Now u have 5(2)+2-2+4(3)+8-7(2)+10+25=5(3)+14-5-8/2. Then Evaluate...

10+2-2+12+8-14+10+25=15+14-5-8/2
Please note that the 2 means the the whole right side of the equation is divide by 2. Now solve...

And u get 41 is = 10.5 which is not True!!!

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I get 51 = 8?

Peter van der Linden - 4 years, 6 months ago

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Oops clicked post to fast: you say the whole right side is divided by 2, but there are other brackets so only 8 is divided by 2.

Peter van der Linden - 4 years, 6 months ago

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Own and r.h.s. is 20

Peter van der Linden - 4 years, 6 months ago

LHS = 51 and RHS = 25. You cannot just say that the whole RHS is divided by 2 just because you want it to. You will need the correct notation: ( 5 y + 7 ( 2 ) − 5 ( 1 ) + 5 − 8 ) / 2 \big(5y + 7(2) - 5(1) + 5 - 8)\big / 2

Hung Woei Neoh - 4 years, 6 months ago

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