Question

2x + 3y=6, 3x + 2y =4 because X, Y?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

The values of x and y are 0 and 2 respectively.

Step-by-step explanation:

Given the linear equations, $2x + 3y=6$                 ...(1)

                                       and $3x + 2y =4$                 ...(2)

Multiplying equation (1) with 3 and equation (2) with 2, we get

$3(2x + 3y=6)\implies 6x + 9y-18=0$                 ...(3)

$2(3x + 2y =4)\implies 6x + 4y-8=0$                  ...(4)

Subtracting equation (4) from equation (3), we get

$6x + 9y-18-(6x + 4y-8)=0$

$\implies 6x + 9y-18-6x - 4y+8=0$

$\implies 5y-10=0$

$\implies 5y=10\implies y=\dfrac{10}{5} =2$

Substituting the value of y in equation (1),

$2x + 3y=6\implies 2x + 3\times 2=6$

$\implies 2x + 6=6\implies x=0$

Therefore, the values of x and y are 0 and 2 respectively.