2x+7y=12
3x+6y =3
solve by elimination

The value of x , y for given linear equation using elimination is   ,    .

Step-by-step explanation:

Given as :

The two linear equation are

-2 x + 7 y = 12                   .............A

3 x + 6 y = 3                    .............B

Solving the equation using elimination method

Now, multiply the equation A by 3

i.e 3 × ( - 2 x + 7 y ) = 3 × 12

Or, - 6 x + 21 y = 36                .......C

Again

multiply the equation B by 2

i.e 2 × ( 3 x + 6 y ) = 2 × 3

Or, 6 x + 12 y = 6                .....D

Now, Solving equation C an D

( - 6 x + 21 y ) + ( 6 x + 12 y ) = 36 + 6

Or , ( - 6 x + 6 x ) + ( 21 y + 12 y ) = 42

Or, (0) + (33 y ) = 42

Or, 33 y = 42

∴   y =

dividing numerator and denominator by 3

i.e y =

So, The value of y =

Now, Put the value of y into eq C

∵ - 6 x + 21 y = 36                

Or, - 6 x + 21 × = 36        

Or, - 6 x + = 36      

Or, - 6 x = 36 -  

Or, - 6 x =  

Or, - 6 x =  

∴  x =

i.e x =  

So, The value of x =

Hence, The value of x , y for given linear equation using elimination is   ,    . Answer

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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is there supposed to be a diagram or a graph for this one? ?

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