Question

Solve the following simultaneous equations. 1) x-2y=-1 ; 2x- y= 7​

Answer 1

★Given:-

Equations:

• x - 2y = -1
• 2x - y = 7​

★To find:-

• Value of x & y.

★Solution:-

Let,

→x - 2y = -1____(1)

→2x - y = 7____(2)

Multiplying equation(1) with 2,

→(x - 2y = -1)×2

→2x - 4y = -2_____(3)

Subtracting equation (2) from (3),

2x - 4y = -2

2x - y   = 7

-    +       -    

    -3y = -9

→ 3y = 9

→ y = 9/3

→ y= 3

Substituting the value of 'y' in equation (1),

→ x - 2y = -1

→ x - 2(3) = -1

→ x - 6 = -1

→ x = 6-1

→ x = 5.

Hence,solutions of the simultaneous equations are 3 & 5.

_____________

Answer 2

Question:

Solve the following simultaneous equations.

1) x-2y=-1 ; 2x- y= 7.

Given:

two equations

x - 2y = -1

2x - y = 7

To find:

Value of x & y.

Solution:

$x - 2y = - 1$

----------(1)

$2x - y = 7$

-----------(2)

Multiply Equation wíth 2.

$(x - 2y = - 1) \times 2$

$➪ \: 2x - 4y = - 2$

-----------(3)

Subtracting equation (2) from (3),

2x - 4y = -2

2x - y   = 7

-    +       -    

__________

    -3y = -9

__________

3y = 9

$y = \frac{9}{3}$

$y = 3$

Substituting the value of 'y' in equation (1),

x - 2y = -1

x - 2(3) = -1

x - 6 = -1

x = 6-1

x = 5.

Hence,solutions of the simultaneous equations are 3 & 5.

$\sf\red{hope\:it\:helps\:you}$