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olchik [2.2K]
3 years ago
12

Solve by elimination -8x -10y = 24 and 6x + 5y = 2

Mathematics
1 answer:
WITCHER [35]3 years ago
5 0
Alright, if we take the first equation and rearrange it, we get:
x = -(24+10y)/8
when we rearrange the second one, we get:
x = (2-5y)/6

When we subtract both of these equations, we get:
x - x = 0
-(24+10y)/8 - (2-5y)/6 = -(72+30y)/24 - (8-20y)/24 = (-80-50y)/24
(-40-25y)/12

So, -25y-40 = 0
y = -1.6

Now, we substitute y back in to either of the 2 original equations, to get:
6x + 5(-1/6) = 2
6x - 8 = 2
6x = 10
x = 5/3

Hope I helped! xx
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3 years ago
Rico and his friend eat some lasagna. Rico eats 1/9 of lasagna, and his friend eats 1/18 of the lasagna. How much of the lasagna
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Answer:

\frac{5}{6} of the lasagna is left

<u>Step-by-step explanation:</u>

Given:

Amount of lasagna Rico eats = 1/9

Amount of lasagna His friend eats = 1/18

To Find:

The amount  lasagna is left =?

Solution:

Total lasagna ate by both Rico and his friend = Amount of lasagna Rico eats +  Amount of lasagna His friend eats

Total lasagna ate by both Rico and his friend = \frac{1}{9} + \frac{1}{18}

Total lasagna ate by both Rico and his friend = \frac{2}{19} + \frac{1}{18}

Total lasagna ate by both Rico and his friend = \frac{3}{18}

Total lasagna ate by both Rico and his friend = \frac{1}{6}

The amount  lasagna is left = 1 - Total lasagna ate by both Rico and his friend.

The amount  lasagna is left = 1 - \frac{1}{6}

The amount  lasagna is left =\frac{6-1}{6}

The amount  lasagna is left =\frac{5}{6}

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4 years ago
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