
Nataliya D. answered 06/20/13
Patient and effective tutor for your most difficult subject.
The elimination method of solving systems of equations is also called the addition method.
8x - y = 5 ..... (1)
x + 9y = 28 ..... (2)
Let's multiply (1) by "9" and add equations together:
72x - 9y = 45
+
x + 9y = 28
73x + 0 = 73
73x = 73 ---> x = 1
Let's plug in the value of x into (2):
1 + 9y = 28
- 1 - 1
9y = 27 ----> y = 3
The solution for system of two linear equations is a pair of numbers:
(1, 3)
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Now, let's verify solution:
(1) .... 8 * 1 - 3 = 5 5 = 5
(2) .... 1 + 9 * 3 = 28
28 = 28