Question

3x − 2y = 6
3x + 10y = −12
Find the common x and y.

Answer 1

x = 1

y = -3/2

Solution: (1, -3/2)

//Hope it helps.

Answer 2

(x, y) = (1, -1.5)

Explanation:

Subtract the first equation from the second to eliminate the x-variable.

(3x +10y) -(3x -2y) = (-12) -(6)

12y = -18

y = -18/12 = -1.5

Substituting into the second equation, you get ...

3x +10(-1.5) = -12

3x -15 = -12 . . . . . . .simplify

3x = 3 . . . . . . . . . . . add 15

x = 1 . . . . . . . . . . . . . divide by 3

The values of x and y that satisfy both equations are (x, y) = (1, -1.5).