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Ray Of Light [21]
3 years ago
5

Solve the system of equations by substitution. X + y = 21 y = 6x

Mathematics
2 answers:
Inessa05 [86]3 years ago
8 0

Answer:

x=3

y=18

Step-by-step explanation:

x+y=21..........equation 1

or,x=21-y......equation 2

y=6x.......equation3

substituting the value of x in equation 3

y=6(21-y)

or,y=126-6y

or,7y=126

y=18

again,substituting the value of y in equation 2

x=21-y

or,x=21-18

x=3

x=3,y=18

eimsori [14]3 years ago
5 0

Answer:

x = 3

y = 18

Step-by-step explanation:

you replace y with 6x

x + 6x = 21

combine like terms

7x = 21

divide both sides by seven

x = 3

then you plyg 3 into the other equation

y = 6(3)

y= 18

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Simplify the equation
Arturiano [62]

Answer:

\dfrac{16x^3-37x^2-16x+37}{x^2+2}

Step-by-step explanation:

There aren't any factors that cancel (except 3x). The best you can do is multiply it out.

\displaystyle\frac{\frac{3x^2-3}{x}}{\frac{3(x^2+2)}{16x^2-37x}}=\frac{3(x^2-1)}{x}\cdot\frac{16x^2-37x}{3(x^2+2)}\\\\=\frac{x(x^2-1)(16x-37)}{x(x^2+2)}=\frac{16x^3-37x^2-16x+37}{x^2+2}

7 0
3 years ago
Where on the graph of 2x - 6y = 7 is the x-coordinate twice the y-coordinate?
Nikolay [14]

Answer:

The required point is P(-7,\frac{-7}{2}) where, x-coordinate twice the y-coordinate on line 2x - 6y = 7

Step-by-step explanation:

Given equation of line is 2x-6y=7

To find point on graph whose x-coordinate twice the y-coordinate:

Let y be y-coordinate of point

Hence, x-coordinate of point will be 2y

The required point is P(2y,y) on equation of line 2x-6y=7

Now,

2x-6y=7

2(2y)-6y=7

-2y=7

y=\frac{-7}{2}

Thus,

The required point is P(-7,\frac{-7}{2})

Note: Figure show equation of line red line and point P as blue dot.

5 0
3 years ago
1) x+30 = 40
soldier1979 [14.2K]

1)x+30=40

x=40-30

Answer :x=10

2)30-20+2x=10

10+2x=10

2x=0

Answer: x=0

3)3x-10+13=-2x+28

3x+3=-2x+28

3x+2x+3=28

3x+2x=28-3

5x=28-3

5x=25

x=5

4)13x-23-45=-7x+12

13x-68=-7x+12

13x+7x-68=12

13x+7x=12+68

20x=12+68

20x=80

x=4

5)2(x+4)=10x+24

2x+8=10x+24

2x-10x+8=24

2x-10x=24-8

-8x=24-8

-8x=16

x=-2

6)3(x-5)=1-(2x-4)

3x-15=1-(2x-4)

3x-15=1-2x+4

3x-15=5-2x

3x+2x-15=5

3x+2x=5+15

5x=5+15

5x=20

x=4

7)5x-10=15

5x=15+10

5x=25

x=5

8)x+4=x+6

4=6

no solution

PLEASE MARK ME AS BRAINLIEST

4 0
3 years ago
Please help solving the attached image!
Triss [41]

Answer:

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7 0
2 years ago
Solve the equation: 5/6 = 1/3 + D
Sauron [17]
Answer: \frac{1}{2} 
 
Explanation:
\frac{5}{6} =  \frac{1}{3}  + D 
\frac{5}{6}  -  \frac{1}{3} = \frac{1}{3}  -  \frac{1}{3} + D 
\frac{5}{6} -  \frac{1}{3} = D 
\frac{5}{6} - 2(\frac{1}{3}) = D
\frac{5}{6} - \frac{2}{6} = D 
\frac{3}{6} = D = \frac{1}{2}
8 0
3 years ago
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