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

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