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yawa3891 [41]
3 years ago
13

Laura is three times as old as Luci. In 5 years, the sum of their ages will be 30. What are the current ages of Laura and Luci?

and
Four years ago Peter was three times as old as Sylvia, and in 5 years the sum of their ages will be 38 years. Find their present ages.

Please Answer under 10 min
Mathematics
1 answer:
Inga [223]3 years ago
7 0
Firstly you would do 30 - 10 = 20, so their ages combined is 20, Laura has to be 15, and Luci has to be 5.

Second, 4 years ago, Peter was 15 and Sylvia was 5, and also in 5 years Sylvia will be 14 and Peter will be 24.

Hope this helps.
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Whats the answer to: 3x + 5y = 2 9x + 11y = 14
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\begin{gathered}\{\begin{array}{ccc}3x+5y=2&|\cdot(-3)\\9x+11y=14\end{array}\\\underline{+\{\begin{array}{ccc}-9x-15y=-6\\9x+11y=14\end{array}}\ \ |\text{add both sides of equations}\\.\ \ \ \ \ -4y=8\ \ \ |:(=4)\\.\ \ \ \ \ y=-2\\\\\text{substitute the value of y to the first equation}\\\\3x+5\cdot(-2)=2\\3x-10=2\ \ \ |+10\\3x=12\ \ \ |:3\\x=4\\\\Answer:\ x=4;\ y=-2\to(4;\ -2)\end{gathered}

{

3x+5y=2

9x+11y=14

∣⋅(−3)

−9x−15y=−6

9x+11y=14

add both sides of equations

. −4y=8 ∣:(=4)

. y=−2

substitute the value of y to the first equation

3x+5⋅(−2)=2

3x−10=2 ∣+10

3x=12 ∣:3

x=4

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3 years ago
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Your slope is 2

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Read 2 more answers
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