How Do you Solve 2x-3y equals 2 3x plus 2y equals 3?

Answer 1

2x - 3y = 2

3x + 2y = 3

Simultaneous Equations.

Arbitrarily decide which letter to eliminate.

In this case 'y'.

To do this we bring the coefficients of 'y' to the same value. . To do this multiply the top equation by '2' and the bottom eq'n by.3.

Hence

4x - 6y = 4

9x + 6y = 9

We now add the two equations. The addition of '-6y + 6y = 0 ', So 'y' is eliminated.

Hence

13x = 13

x = 1

To find 'y' , we substitute 'x = 1' into either equation.

Hence

4(1) - 6y = 4

4 - 6y = 4

-6y = 0

y = 0

So the answer in ( x,y ) form is ( 1,0 ) .

Answer 2

Given:

2x - 3y = 2

3x + 2y = 3

Take the first equation, and solve for x:

x = (2 + 3y) / 2

Now plug it into the second equation:

∴ 3(2 + 3y) / 2 + 2y = 3

∴ 3 + 9y/2 + 2y = 3

∴ 9y/2 + 2y = 0

∴ 22y = 0

∴ y = 0

Then you can take that value of y, and plug it into either of our first equations to find x;

2x - 3y = 2

∴ 2x - 3(0) = 2

∴ 2x = 2

∴ x = 1

So x is equal to one, and y is equal to zero.