Terminal Terminal

01-02-2017
Mathematics

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How would u solve this liner system?

y = -3x - 1
4x + 3y = 2
What is x and what is y??

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HomertheGenius HomertheGenius

06-02-2017

We can solve it by substitution: y = - 3 x - 1.
So the 2nd equation becomes:
4 x + 3 * ( - 3 x - 1 ) = 2
4 x - 9 x - 3 = 2
- 5 x = 2 + 3
- 5 x = 5
x = 5 : ( - 5 ) = - 1
y = - 3 * ( - 1 ) - 1 = 3 - 1 = 2
Answer: x = - 1, y = 2.

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