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3 years ago

Find the value of each variable and show which property is used.

Mathematics

1 answer:

mojhsa [17]3 years ago

6 0

7y-2=5y+4
+2 +2
__________
7y= 5y + 6
-5y -5y
__________
2y= 6

Y=3

3x+2=23
3x =21
x= 7

7(3) -2= 5(3)+4
19=19
x=19

3(7)+2=23
23= 23
Y=23

Adding and subtracting property

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3 years ago

Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the sq

Arte-miy333 [17]

Answer:

The perimeter of rectangle is $18\ cm$

Step-by-step explanation:

Let

x------> the length of rectangle

y----> the width of rectangle

we know that

The area of the constructed figure is equal to

$A=xy+2x^{2} +2y^{2}\\A=120\ cm^{2}$

$120=xy+2x^{2} +2y^{2}$ -----> equation A

$x=y+5$ -----> equation B

substitute equation B in equation A

$120=y(y+5)+2(y+5)^{2} +2y^{2}\\120=y^{2}+5y+2(y^{2}+10y+25)+2y^{2}\\120=y^{2}+5y+2y^{2}+20y+50+2y^{2}\\5y^{2}+25y+50-120=0\\5y^{2}+25y-70=0$

using a graphing calculator to resolve the quadratic equation

the solution is

$y=2\ cm$

Find the value of x

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Find the perimeter of rectangle

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3 0

4 years ago

Solve the system of equations by elimination:<br> 2 - 5y = 1<br> 2x + 5y = 17

lesantik [10]

Answer:

X = 8 And y = 1/5

Step-by-step explanation:

add equaction i and education ii,

2 -5y = 1

2x +5y = 17

------------------

2+2x = 18

or, 2x = 18 - 2

or X = 16/2

or X = 8

Again from equation i,

2 - 5y = 1

or, -5y = 1 - 2

or, -5y = -1

or, y = -1/-5 (cut the subtraction sign)

or, y = 1/5

8 0

2 years ago