Question

hich system of equations has the same solution as the system below?
3, x, plus, 4, y, equals, 34
3x+4y=
34
5, x, plus, 2, y, equals, 38
5x+2y=
38
Answer
Multiple Choice Answers
3, x, plus, 4, y, equals, 343x+4y=34
5, x, minus, 4, y, equals, minus, 765x−4y=−76
3, x, plus, 4, y, equals, 343x+4y=34
minus, 10, x, minus, 4, y, equals, minus, 76−10x−4y=−76
3, x, plus, 4, y, equals, 343x+4y=34
minus, 10, x, minus, 4, y, equals, 38−10x−4y=38
3, x, plus, 4, y, equals, 343x+4y=34
minus, 10, x, plus, 2, y, equals, minus, 76−10x+2y=−76

Answer 1

The equivalent system is
3x + 4y = 34
−10x − 4y = −76

Reason: multiply the second original equation 5x + 2y = 38 by −2 to get −10x − 4y = −76, which yields an equivalent system.