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Given the equation 8x + 4y = 2, a second equation that forms a system with no solution is:

Given the equation 8x + 4y = 2, a second equation that forms a system with no solution-example-1
User David Wihl
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1 Answer

4 votes

Answer:

4x + 2y = 2

Explanation:

8x + 4y = 2 ( divide each term by 2 )

4x + 2y = 1 → (1)

we require a situation where the left side cannot possibly equal the right side.

using 4x + 2y = 2 → (2)

subtract (1) from (2) term by term

(4x - 4x) + (2y - 2y) = 2 - 1 , that is

0 + 0 = 1

0 = 1 ← not possible

thus the system has no solution

User Krispet Krispet
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