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Define x and y :
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Let the small number be x.
And the big number be y.
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Construct equations :
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The sum of the 2 numbers is 33.
⇒ x + y = 33
The sum of the smaller number and 3 times the larger number is 81.
⇒x + 3y = 81
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Find x and y :
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x + y = 33 ---------------- (1)
x + 3y = 81 .---------------- (2)
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Equation (2) - (1) :
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2y = 48
y = 24
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Sub y = 24 into equation (1) :
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x + y = 33
x + 24 = 33
x = 33 - 24
x = 9
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Find the two numbers :
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Smaller number = 9
Bigger number = 24
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Answer: The two numbers are 9 and 24.
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-3x+y=5
y=5+3x
Then:
if x=-4; y=5+3(-4)=5-12=-7 This is a possible solution .
if x=3; y=5+3(3)=5+9=14 This is other possible solution.
if x=2; y=5+3(2)=5+6=11, it´s not solution.
if x=1; y=5+3(1)=5+3=8; this is other possible solution.
C. (2,-1)
The common ratio is a constant found in geometric sequences, denoted r in the equations for geometric sequences, when any term is divided by the term preceding it. In this case the common ratio is:
147/21=21/3=7=r
So 7 is the common ratio.
I got x=11 and x= negative 4 hope dis helped