systems of equations with 3 variables - addion method 5 x &#x2212;<!-- − -->

Direkotogbkmn

Direkotogbkmn

Answered question

2022-05-13

systems of equations with 3 variables - addion method
5 x y = 3
3 x + z = 11
y 2 z = 3

Answer & Explanation

Christian Hawkins

Christian Hawkins

Beginner2022-05-14Added 16 answers

5 x y = 3
3 x + z = 11
y 2 z = 3
Multiply first equation by 3 and second one by ( 5 ).
Add both.
15 x 3 y = 9
15 x 5 z = 55
Adding, 3 y + 5 z = 46
3 ( 2 z 3 ) + 5 z = 46
11 z 9 = 46
z = 5, y = 7, x = 2
Govindennz34j

Govindennz34j

Beginner2022-05-15Added 6 answers

(a) 5 x y = 3
(b) 3 x + z = 11
(c) y 2 z = 3
Adding (a) and (c) we get
(d) 0 = 3 3 = 5 x y + y 2 z = 5 x 2 z
Adding (d) and 2 times (b) shows
22 = 6 x + 2 z + 5 x 2 z = 11 x x = 2
Substituting x = 2 in (d) gives
11 = 3 x + z = 6 + z z = 5
And substituting x = 2 in (a) leads to
3 = 5 x y = 10 y y = 7

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