Question

solve x and y if 3x+2y=I ,2x-y=0​

Answer 1

X=1/7 and y =2/7

Step-by-step explanation:

This answer has been extracted via elimination method

Answer 2

∴ x = $\dfrac{1}{7}$ and $y=\dfrac{2}{7}$

Step-by-step explanation:

The given equations are:

3x + 2y = 1                        ..........(1)

and  2x - y = 0​                 ..........(2)

To find, the values of x and y = ?

Multiplying equation (2) by 2, we get

2(2x - y) = 2(0​)      

4x - 2y = 0                     ..........(3)

Adding equations (1) and (3), we get

3x + 2y + 4x - 2y = 1 + 0

⇒ 7x = 1

⇒ x = $\dfrac{1}{7}$

Put x = $\dfrac{1}{7}$ in equation (1), we get

$3(\dfrac{1}{7} )+2y=1$

⇒ $2y=1-\dfrac{3}{7} =\dfrac{7-3}{7}$

⇒ $2y=\dfrac{4}{7}$

⇒ $y=\dfrac{4}{14}=\dfrac{2}{7}$

∴ x = $\dfrac{1}{7}$ and $y=\dfrac{2}{7}$