Question

Solve the equations : 4x-3y=8,6x-y=29/3

Answer 1

Answer:

Solution of equtions are  $x = \frac{3}{2}$ and $y = \frac{-2}{3}$ .

Step-by-step explanation:

As given the equations

4x - 3y = 8

$6x - y = \frac{29}{3}$

Simplify the above equation

3 × (6x - y) = 29

3 × 6x - 3 × y = 29

18x - 3y = 29

Two equations are

4x - 3y=8

18x - 3y = 29

Subtracted 4x - 3y=8 from 18x - 3y = 29 .

18x - 4x -3y + 3y = 29 - 8

14x = 21

$x = \frac{21}{14}$

$x = \frac{3}{2}$

Putting this in the equation 4x-3y=8 .

$4\times \frac{3}{2}-3y = 8$

$2\times 3-3y = 8$

$6-3y = 8$

$-3y = 8-6$

$3y = -2$

$y = \frac{-2}{3}$

Therefore the solution of equtions are  $x = \frac{3}{2}$ and $y = \frac{-2}{3}$ .