Question

2x+3y=15 x+y=6
work out the values of x and y.
Thank you

Answer 1

Answer:

2x + 3y = 15

x + y = 6 ⇒ 2x + 2y = 12

By elimination method

2x + 3y = 15

-2x - 2y = -12

y = 3

x + y = 6

⇒ x = 3

Step-by-step explanation:

Answer 2

2x + 3y = 15 , x + y = 6 then x = 3 , y = 3

Given : 2x + 3y = 15 , x + y = 6

To find : The value of x and y

Solution :

Step 1 of 2 :

Write down the given system of equations

The given system of equations are

2x + 3y = 15 - - - - - - (1)

x + y = 6 - - - - - - - - - (2)

Step 2 of 2 :

Solve for x and y

From Equation 1 we get

y = 6 - x - - - - - - (3)

Putting the value of y in Equation 1 we get

$\displaystyle \sf{ 2x + 3(6 - x) = 15 }$

$\displaystyle \sf{ \implies 2x + 18 - 3x = 15 }$

$\displaystyle \sf{ \implies 18 - x = 15 }$

$\displaystyle \sf{ \implies - x = 15 - 18 }$

$\displaystyle \sf{ \implies - x = - 3 }$

$\displaystyle \sf{ \implies x = 3 }$

From Equation 3 we get

y = 6 - 3 = 3

Hence the required solution is x = 3 , y = 3

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