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Mathematics
Jean Berry
17 April, 05:48
9. [3x - 4y=-14
3x+2y=-2
How do I solve this
+4
Answers (
2
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Ducky
17 April, 06:58
0
x = - 2
y = 2
(-2, 2)
dominion mf
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Coby Valencia
17 April, 08:25
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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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