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SmokeyRN
17.06.2020 •
Mathematics
Consider the expressions shown below. A B C Complete each of the following statements with the letter that represents the expression. is equivalent to expression . is equivalent to expression . is equivalent to expression
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Ответ:
x = 9/25
y = 7/25
z = 4/25
Step-by-step explanation:
2x + y = 1 (1)
3y + z = 1 (2)
x + 4z = 1 (3)
Elimination 1 and 2
2x + y = 1 | ×3 |
3y + z = 1 | ×1 |
6x + 3y = 3
3y + z = 1
--
6x - z = 2 (4)
Elimination 3 and 4
x + 4z = 1 | ×6 |
6x - z = 2 | ×1 |
6x + 24z = 6
6x - z = 2
--
25z = 4
z = 4/25
Elimination 3 and 4
x + 4z = 1 | ×1 |
6x - z = 2 | ×4 |
x + 4z = 1
24x - 4z = 8
+
25x = 9
x = 9/25
Subsitution 1
2x + y = 1
2(9/25) + y = 1
18/25 + y = 1
y = 1 - 18/25
y = 25/25 - 18/25
y = 7/25