Question

Elimination method example solve this equation
2x+3y =11
2x -4y = -24
​

Answer 1

Answer:

Given data,

$2x + 3y = 11 \: \: \: \: \: \: \: \: ...(1) \\ 2x - 4y = - 24 \: \: \: \: \: ...(2)$

To calculate,

values of x and y

Condition,

solve by elimination method

Calculations,

by subtracting equation 2 from equation 1

we get,

$(2x + 3y) - (2x - 4y) = 11 - ( - 24) \\ 2x - 2x + 3y + 4y = 11 + 24 \\ 0 + 7y = 35 \\ y = \frac{35}{7} \\ y = 5$

by substitution of value of y on equation 1

we get,

$2x + 3(5) = 11 \\ 2x + 15 = 11 \\ 2x = 11 - 15 \\ 2x = - 4 \\ x = \frac{ - 4}{2} \\ x = - 2$

Final answer,

your final answer is (-2,5)

Answer 2

Answer:

x=-2 ,y=5

Step-by-step explanation:

2x+3y=11--------(1)

2x-4y=-24------(2)

Eliminate 'x' from the given equations.The coefficients of 'x' are equal so no need to do L.C.M.Now,subtract (2) from (1).

    2x+3y=11                                          

 (-)2x(+)4y=(+24)                   ... ((-)(+)=(-),(-)*(-)=(+))

    ___________                       (Both the 2x will be cancelled)

        7y=35

       y=35/7

        y=5

Substitute y in eq(1)

2x+3(5)=11

2x+15=11          ........          (Send 15 to right side)

2x=11-15

2x=-4

x=-4/2

x=-2

Hence x=-2,y=5