Brain Teaser:
Help me decode " 9 X Y Z P 1 Q 2 R 3"
Using the following equations;
a)16 X - 35 = 7 X -8
b) 6Y-7/3Y+9 = 1/3
c) Z² - 9/ 5+ Z² = (-5)/9
d) 4(Q+4) = 5(Q+4) = 5(Q+2)
f) 3(R+10) + 200 = 236
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Answers
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a).
16x - 35 = 7x-8
9x = 27
x = 3
b).
6y-7 / 3y + 9 = 1/3
6y-7 / 3(y+3) = 1/3
6y-7 / (y+3) = 1
6y-7 = y+3
y = 2
c).
Z² - 9/ 5+ Z² = (-5)/9
2Z^2 = 9/5 - 5/9
2 Z^2 = 81-25/45
z^2 = 56 / 90
Z = √ 28/45
d).
oh 4(Q+4) = 5(Q+2)
4Q + 16 = 5Q + 10
Q = 6
e).
3(R+10) + 200 = 236
3R + 30 + 200 = 236
3R + 230 = 236
3R = 6
R = 2
16x - 35 = 7x-8
9x = 27
x = 3
b).
6y-7 / 3y + 9 = 1/3
6y-7 / 3(y+3) = 1/3
6y-7 / (y+3) = 1
6y-7 = y+3
y = 2
c).
Z² - 9/ 5+ Z² = (-5)/9
2Z^2 = 9/5 - 5/9
2 Z^2 = 81-25/45
z^2 = 56 / 90
Z = √ 28/45
d).
oh 4(Q+4) = 5(Q+2)
4Q + 16 = 5Q + 10
Q = 6
e).
3(R+10) + 200 = 236
3R + 30 + 200 = 236
3R + 230 = 236
3R = 6
R = 2
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