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elena-s [515]
3 years ago
14

Py+7=6y+q what is the answer for this question (linear equations with unknown coefficients)?

Mathematics
2 answers:
Temka [501]3 years ago
3 0
Assuming your solving for y:
py+7=6y+q
-6y -7 -6y -7
(p-6)y = q-7
divide both sides by p-6
y=(q-7)/(p-6)
kompoz [17]3 years ago
3 0

Answer:

The required equation is  y =\frac{(q-7)}{(p-6)}.

Step-by-step explanation:

Consider the provided equation.

py+7=6y+q

We need to simplify the equation and convert it into a linear equation with unknown coefficients.

Subtract 6y from both sides.

py - 6y + 7 = q

Subtract 7 from both sides.

py - 6y = q - 7  

Take y common from left side.

y(p-6) = q-7

 Divide both sides by p-6.

 y =\frac{(q-7)}{(p-6)}

Hence, the required equation is  y =\frac{(q-7)}{(p-6)}.

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Answer:

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Step-by-step explanation:

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Answer:

Part 1) The perimeter of rectangle is equal to 24 units

Part 2) The area of rectangle is equal to 32 square units

Step-by-step explanation:

Part 1) Find the perimeter of rectangle

we know that

The perimeter of rectangle is equal to

P=2(L+W)

where

L is the length of rectangle

W is the width of rectangle

we have

F(-2,5),R(-2,1),O(6,1),G(6,5)

Plot the figure to better understand the problem

using a graphing tool

see the attached figure

Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees

so

FG=RO=L\\RF=OG=W

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find the distance FG

F(-2,5),G(6,5)

substitute the values

d=\sqrt{(5-5)^{2}+(6+2)^{2}}

d=\sqrt{(0)^{2}+(8)^{2}}

FG=8\ units

step 2

Find the distance RF

R(-2,1),F(-2,5)

substitute the values

d=\sqrt{(5-1)^{2}+(-2+2)^{2}}

d=\sqrt{(4)^{2}+(0)^{2}}

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step 3

Find the perimeter

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FG=RO=L=8\ units\\RF=OG=W=4\ units

substitute

P=2(8+4)=24\ units

Part 2) Find the area of rectangle FROG

we know that

The area of rectangle is equal to

A=LW

we have

FG=RO=L=8\ units\\RF=OG=W=4\ units

substitute

A=(8)(4)=32\ units^2

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