Solve the system of equations by the elimination method.
-2.5x + 0.2y = 10.6
0.5x - 0.4y = 0.8
A)(4.5, 3)
B)(6.5, 3.2)
C)(4, 3)
D)(1.5, 3.2)

Name: Solve the system of equations by the elimination method. -2.5x + 0.2y = 10.6 0.5x - 0.4y = 0.8 A)(4.5, 3) B)(6.5, 3.2) C)(4, 3) D)(1.5, 3.2)
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Question

Solve the system of equations by the elimination method.
-2.5x + 0.2y = 10.6 
0.5x - 0.4y = 0.8
A)(4.5, 3)
B)(6.5, 3.2)
C)(4, 3)
D)(1.5, 3.2)

Quizplus · Accepted Answer

To eliminate y, multiply the first equation by 2 and the second by 1, then add them: 5x + 0.4y = 21.2 and 0.5x - 0.4y = 0.8. Adding gives 5.5x = 22, so x = 4. Substitute x = 4 into the first equation to find y = 3.

Solve the System of Equations by the Elimination Method