Find the solution for this system of equations. 2x − 3y = 2 x = 6y − 5

x =
y =

x = 3

Step-by-step explanation:

The equations for which the solution is to be find out are given to be :

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

x = 6y - 5 ..........(2)

Now, putting value of x from equation (2) into equation (1)

⇒ 2 × (6y - 5) - 3y = 2

⇒ 12y - 10 - 3y = 2

⇒ 9y = 2 + 10

⇒ 9y = 12

⇒ x = 8 - 5

⇒ x = 3

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