3 years ago

Ruby bought 46 yards of fabric to make

Mathematics

1 answer:

emmainna [20.7K]3 years ago

5 0

Answer:

<u>The answer is 5 set of curtains and it remains 6 yards of fabric.</u>

Step-by-step explanation:

Let's calculate the number of sets of curtains that Ruby can make with the 46 yards of fabric.

Number of sets of curtains = 46/8

Number of sets of curtains = 5 and it remains 6 yards

<u>The answer is 5 set of curtains and it remains 6 yards of fabric.</u>

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For each ordered pair determine whether it is a solution to the system of equations 2x-7y=8 -3x+2y=5

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Step-by-step explanation:

Let be the following system of linear equations:

$2\cdot x - 7\cdot y = 8$ (1)

$-3\cdot x + 2\cdot y = 5$ (2)

From (1) we clear $y$ :

$2\cdot x -8 = 7\cdot y$

$y = \frac{2\cdot x - 8}{7}$

And we apply this variable in (2):

$-3\cdot x+2\cdot \left(\frac{2\cdot x -8}{7} \right)= 5$

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And the value of $y$ is:

$y = \frac{2\cdot (-3)-8}{7}$

$y = -\frac{14}{7}$

$y = -2$

The solution of this system of linear equations is $(x,y) = (-3,-2)$ .

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