9. [3x - 4y=-14

3x+2y=-2

How do I solve this

x = - 2 and y = 2

Step-by-step explanation:

3x - 4y = - 14 (1)

3x + 2y = - 2 (2)

Since the coefficient of x in both equation are the same, then elimination method will be best method to solve the problem.

This can be achieved as follows:

Subtract equation (1) from (2), we have

3x + 2y = - 2

- 3x - 4y = - 14

6y = 12

Divide both side by the coefficient of y i. e 6

y = 12/6

y = 2

Now, we can substitute the value y into any of the equation to get x. In this case, I will be making use of equation (2). You can verify by using equation (1)

3x + 2y = - 2

3x + 2 (2) = - 2

3x + 4 = - 2

Collect like terms

3x = - 2 - 4

3x = - 6

Divide both side by the coefficient of x i. e 3

x = - 6/3

x = - 2

Therefore x = - 2 and y = 2

x = - 2

y = 2

(-2, 2)

dominion mf