What is the solution to {4x - y = 8 {6x + y = 2

1 answer:

7 0

$4x - y = 8 \\ + 6x + y = 2 \\ = = = = = = = = \\ 10x = 10 \\ 10 \div 10 = 1 \\ x = 1 \\ \\ \\ 6x + y = 2 \\ 6(1) + y = 2 \\ 6 + y = 2 \\y = 2 - 6 \\ y = - 4 \\ \\ \\ \\ check \\ \\ 6x + y = 2 \\ 6(1) + y( - 4) = 2 \\ 6 - 4 = 2 \\ 2 = 2$

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A bag contains 15 cups of sugar if 3/4 of a cup is needed for each batch of cookies what's the greatest number of batches of coo

tensa zangetsu [6.8K]

Answer:

20 batches

Step-by-step explanation:

Cups of sugar in a bag = 15

Cups of sugar per batch of cookie = 3/4 cup

Cups of sugar per batch of cookie : batch of cookies = 3/4 : 1

what's the greatest number of batches of cookies that can be made with the bag of sugar

Let

x = batches of cookies made with a bag of sugar

Cups of sugar per batch of cookie : batch of cookies = 15 : x

Equate the ratios

3/4 : 1 = 15 : x

3/4 ÷ 1 = 15/x

3/4 × 1/1 = 15/x

3/4 = 15/x

Cross product

3 * x = 4 * 15

3x = 60

x = 60/3

x = 20

x = batches of cookies made with a bag of sugar = 20 batches

8 0

2 years ago

Need help with this

snow_tiger [21]

Answer:

x y

15 -1

12 0

9 1

6 2

3 3

0 4

Step-by-step explanation:

This is a function table. For a linear function, find the average rate of change between the listed points called slope. Then use the slope to fill in other inputs and outputs for the function.

$m = \frac{y_2-y_1}{x_2-x_1}=\frac{4-0}{0-12} =\frac{4}{-12} =- \frac{1}{3}$