Estimate the solution to the system of equations 2x+3y=6 - 4x+3y=12

(x, y) = (1, 10/3)

Step-by-step explanation:

2x + 3y + 12

6 - 4x + 3y = 12

Simplify the equation:

2x + 3y = 12

-4x + 3y = 6

Multiply both sides by - 1:

2x + 3y = 12

4x - 3y = - 6

Eliminate one variable by adding the equations:

6x = 6

Divide both sides by 6:

x = 1

Substitute the value of x into the equation:

-4 x 1 + 3y = 6

Solve the equation:

y = 10/3

A possible solution:

(x, y) = (1, 10/3)

Check the solution:

2 x 1 + 3 x 10/3 = 6 - 4 x 1 + 3 X 10/3 = 12

Simplify the expression:

12 = 12 = 12