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1 year ago

7/3 x (2/3 - 2/9) =

Mathematics

2 answers:

Delvig [45]1 year ago

7 0

Hey there!

7/3 * (2/3 - 2/9)

= 7/3 * 4/9

= 7(4) / 3(9)

= 28 / 27

≈ 1 1/27

Therefore, the answer should be:

28 / 27

1 1/27

Either should work because they are both equivalent to each other.

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

lilavasa [31]1 year ago

5 0

Answer:

1 1/27 = 28/27

Step-by-step explanation:

First you evaluate your parenthesis, and to do that you need to find the Least Common Denominator of 2/3 and 2/9. The least common denominator would be 9. 3 x 3 = 9 so you multiply 2 x 3 = 6. 6/9 - 2/9 = 4/9. 7/3 x 4/9

7 x 4 = 28

3 x 9 = 27

28/27 = 1 1/27

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Y = 3x + 15 3x + 3y = 9

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Answer:

$\Large\boxed{x=-3}$ $\Large\boxed{y=6}$

Step-by-step explanation:

Given the system of equations

$1)~y=3x+15$

$2)~3x+3y=9$

Divide 3 on both sides of the 2) equation

$3x+3y=9$

$3x\div3+3y\div3=9\div3$

$x+y=3$

Current system

$1)~y=3x+15$

$2)~x+y=3$

Substitute 1) equation into the 2) equation

$x+(3x+15)=3$

Combine like terms

$x+3x+15=3$

$4x+15=3$

Subtract 15 on both sides

$4x+15-15=3-15$

$4x=-12$

Divide 4 on both sides

$4x\div4=-12\div4$

$\Large\boxed{x=-3}$

Substitute the x value into one of the equations to find the y value

$y=3x+15$

$y=3(-3)+15$

$y=-9+15$

$\Large\boxed{y=6}$

Hope this helps!! :)

Please let me know if you have any questions

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