Question

find the value of xand y 2x -3y=8 ,x+y=12 please tell me this question I m in class 10 th​

Answer 1

Given equations:

• 2x - 3y = 8 ❲ eq (1) ❳
• x + y = 12 ❲ eq (2) ❳

To find:

• Value of x and y?

Solution:

★ Using Substitution method:

• A strategy for solving systems of equations that include solving for one variable and using that solution to find the other variable.

From eq (2),

➯ x + y = 12

➯ x = 12 - y ❲ eq (3) ❳

Now, Putting eq (3) in eq (1),

➯ 2(12 - y) - 3y = 8

➯ 24 - 2y - 3y = 8

➯ 24 - 5y = 8

➯ - 5y = 8 - 24

➯ - 5y = - 16

➯ y = -16/-5

➯ y = 16/5

Now, Putting value of y in eq (3),

➯ x = 12 - 16/5

➯ x = (60 - 16)/5

➯ x = 44/5

∴ Hence, Value of x and y is 44/5 and 16/5 respectively.

Answer 2

$\huge{\boxed{\rm{\red{Question}}}}$

Find the value of x and y 2x - 3y = 8 , x+ y = 12

$\huge{\boxed{\rm{\red{Answer}}}}$

${\bigstar}\large{\boxed{\sf{\pink{Given \: equation}}}}$

• 2x + 3y {Equation 1}
• x + y = 12 {Equation 2}

${\bigstar}\large{\boxed{\sf{\pink{To \: find}}}}$

• Value of x and y

${\bigstar}\large{\boxed{\sf{\pink{Solution}}}}$

$\large\green{\texttt{Substitution method}}$

★ A strategy for solving system of equation that include solving for one variable and using that solution to find the other variables.

⚪x + y = 12

⚪x = 12 - y {Equation 3}

$\large\purple{\texttt{Now putting eq 3 in eq 1}}$

⚪2(12-y) - 3y = 8

⚪24 - 2y - 3y = 8

⚪24 - 5y = 8

⚪-5 = 8 - 24

⚪-5y = -16

⚪ y = -16/-5

⚪ y = 16/5

$\large\purple{\texttt{Now putting value of y in eq 3}}$

⚪x = 12 - 16/5

⚪x = ( 60-16 ) / 5

⚪x = 44/5

Hence, the value of y is 16/5 and the value of x is 44/5.

@Itzbeautyqueen23

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