Question

4x+3y=12;3x+4y=8 solve by simultaneously

Answer 1

Step-by-step explanation:

4x+3y=12 _(i equation (i )me 12 se multiplied

3x+4y =8 _(ii iss equation me 9 se multiplied

then equation (i) , ii) se ghatane par

easily y cut .....

aage aap khud kar lo

Answer 2

Concept: A system of simultaneous linear equations is any pair of linear equations or more that have the same unknown variables in common. To solve such a system, one must identify values for the unknown variables that simultaneously satisfy each of the equations.

Given: 4x + 3y = 12

           3x + 4y = 8

To find: The value of x and y

Solution :

4x + 3y = 12    -------------- (i)

3x + 4y = 8     ---------------(ii)

Multiplying equation (i) by 3 and equation (ii) by 4, we get

12x + 9y = 36  --------------(iii)

12x + 16y = 32  -------------(iv)

Subtracting equation (iv) from equation (iii), we get

-7y = 4

$y = -\frac{4}{7}$

Substituting the value of y in equation (i), we get

$4x + (\frac{-12}{7}) = 12\\\\4x = 12 + \frac{12}{7} \\\\4x = \frac{84 + 12}{7} \\\\4x = \frac{96}{7} \\\\x = \frac{96}{7*4} \\\\x = \frac{24}{7}$

Hence, the value of x is $\frac{24}{7}$ and the value of y is $\frac{-4}{7}$.

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