Question

using elimination method,4x-3y=8,18x-3y=29

Answer 1

ANSWER:

given two equations are

$4x - 3y = 8 \\ \\ 18x - 3y = 29$

REQUIRED TO FIND:

solve the equations by elimination method

METHOD:

let us look at the method

for eliminating one variable ,,

$4x - 3y = 8................(1) \\ \\ \\ 18x - 3y = 29...........(2)$

$(1) - (2)$

$\: \: \: \: 4x - 3y =8 \\ \\ ( - )18x - 3y = 29 \\ - - - - - - - - - - \\ \\ - 14x = - 21 \\ \\ - - - - - - - - - -$

$x = \frac{21}{14} = \frac{3}{2}$

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

ELIMINATION METHOD:

In the elimination method

these steps are to be followed

→first if x variables or y variables don't have same coefficient,we need to multiply whole equation with some number so that their coefficients becomes equal

→then add or subtract so that one variable will be subtracted

→when u get 1 variable find the other