Solve the system by substitution. Check the answer. (PLEASE ANSWER = 10 POINTS!!!!!)?

2018-02-12 10:04 am
⎨−2x + y = 0
⎨5x + 3y = −11

回答 (1)

2018-02-12 10:19 am
✔ 最佳答案
-2x + y = 0 …… [1]
5x + 3y = -11 …… [2]

From [1] :
y = 2x …… [3]

Substitute [3] into [2] :
5x + 3(2x) = -11
11x = -11
x = -1

Substitute x = -1 into [3] :
y = 2(-1)
y = -2

Hence (x, y) = (-1, -2)


====
Check :

In [1] :
L.H.S. = -2(-1) + (-2) = 2 - 2 = 0 = R.H.S.

In [2] :
L.H.S. = 5(-1) + 3(-2) = -5 - 6 = -11 = R.H.S.


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