You can solve systems of equations using either substitution or elimination. For these problems, I recommend elimination. I'll do the first one as an example.

-3x + 16y = 9

-4x + 8y = 12

Multiply the second equation by -2.

8x − 16y = -24

Add to the first equation (notice the y's cancel out).

(-3x + 16y) + (8x − 16y) = 9 − 24

5x = -15

Solve for x.

x = -3

Now you can plug this into either equation to find y.

-3(-3) + 16y = 9

9 + 16y = 9

y = 0

The solution is (-3, 0).

3 0

3 years ago

Salama makes fruit baskets with oranges and bananas.

vovangra [49]

The ratio for problem is:

oranges : bananas = 9 : 6 or oranges : bananas = 6 : 4

Solution:

Given that, Salama makes fruit baskets with oranges and bananas

She uses between 8 and 16 oranges and bananas in a ratio of 3 oranges to 2 bananas

Given ratio is:

Ratio of orange to bananas = 3 : 2

They add up to 5 fruits, so some possible values are 5, 10, 15 , 20, 25, etc

But we need a value between 8 and 16 oranges and bananas

So we can choose 15 or 10

Now let us choose 15 and solve

Let the oranges be 3x

Let the bananas be 2x

Therefore,

3x + 2x = 15

5x = 15

x = 3

Thus oranges = 3x = 3(3) = 9

Bananas = 2x = 2(3) = 6

Thus the ratio for problem is:

oranges : bananas = 9 : 6

Similarly solve for 10

3x + 2x = 10

5x = 10

x = 2

Thus oranges = 3x = 3(2) = 6

Bananas = 2x = 2(2) = 4

Thus the ratio for problem is:

oranges : bananas = 6 : 4

8 0

3 years ago

The total snowfall in Burke, Virginia, this January was 7 1/4 in. In February, 20% more snow fell than in January.

Elis [28]

I think the answer is 7 2/9

7 0

3 years ago

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