Question

Choose the equivalent system of linear equations that will produce the same solution as the one given below.

Answer 1

4 x - 2 y = 6
2 x + y = 5       /  * 2  ( we will multiply both sides by 2 )
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4 x  - 2 y = 6
+
4 x  + 2 y = 10
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8 x = 16;    x = 2
4 + y = 5
y = 5 - 4;   y = 1
In the system of equations D :
8 x = 16;  x = 2 ,
8 + 2 y = 10
2 y = 2,  y = 1
Answer: D ) is the equivalent system