Question

Solution of simultaneous linear equation 2x/y-y/2 =-1/6 and x/2+2y/3 =3

Answer 1

Step-by-step explanation:

(x,y)=(2,3)...........................

Answer 2

$\bf x = 2 \: \text{and }\: y = 3$

Step-by-step explanation:

*Given:

• $\frac{2x}{3} - \frac{y}{2} = - \frac{1}{6}$
• $\frac{x}{2} + \frac{2y}{3} = 3$

To find:

• Solution of simultaneous linear equations.

Solution:

Concept to be used:

Elimination method:

• Equate the coefficients of any one variable.
• By algebraic operations, eliminate one variable and find the value of another.
• Put the value from above step in any equation to find the other value.

Step 1:

Simplify the equations.

Take LCM and simplify the equations.

$\frac{4x - 3y}{6} = - \frac{1}{6}$

or

$\bf 4x - 3y = - 1...eq1$

and

$\frac{3x +4y }{6} =3$

or

$\bf 3x + 4y = 18...eq2$

Step 2:

Solve the equations for x.

Multiply eq1 by 4 and eq2 by 3 and add both equations.

$16x - 12y = - 4 \\ 9x + 12y = 54 \\ - - - - - - - \\ 25x = 50 \\ - - - - - - -$

or

$x = \frac{50}{25}$

or

$\bf x = 2$

Step 3:

Put the value of x in eq 1 and find the value of y.

$4(2) - 3y = - 1$

or

$8 - 3y = - 1$

or

$- 3y = - 9$

or

$\bf y = 3$

Thus,

Solutions of simultaneous linear equation are $\bf x = 2$ and $\bf y = 3$.

*Remark: Question was corrected before answering.

Learn more:

1) Solve the following pair of linear equations by the elimination method and the substitution method:

(i) x+y=5...

https://brainly.in/question/1345026

2)2x+3y=9,3x+4y=5 substitution method

https://brainly.in/question/4360056

#SPJ3