Question

Solve the leaner equation 2(x-4)=9y and x-3y=2​

Answer 1

Answer:

x = - 1/4

y = -3/4

Step-by-step explanation:

To solve a linear equation, we need to get both variables on the same side. Let's work with equation (1) first.

2 (x-4) = 9y

2x - 8 = 9y

2x - 9y = 8 ---- 1

Now, equation (2) is already balanced with both variables on the same side.

x - 3y = 2 ---- 2

So, you can either multiply equation (2) with 2 to eliminate the x first, or multiply the equation with 3 to eliminate the y. I will multiply the equation with 2 here.

2x - 9y = 8

(x - 3y = 2) multiplied with 2

2x - 9y = 8

2x - 6y = 4

-    +        -

We will get (-3y) = 4

y = -3/4

substituting y in equation (2)

x - 3 (-3/4) = 2

x + 9/4 = 2

x = 2 - 9/4

x = - 1/4

I hope this is the right answer. And I also hope this helped! :D