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Solve the system of linear equations -x+5y=15 -1/5x+y=3​

User Tonystar
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1 Answer

23 votes
23 votes

Answer:

x -5y = -15 . . . (infinite solutions)

Explanation:

The two equations of your system of equations describe the same line, so every point is a point of intersection. There are an infinite number of solutions. Any (x, y) pair that satisfies the first equation will also satisfy the second equation.

To see this, multiply the second equation by 5:

5(-1/5x +y) = 5(3)

-x +5y = 15 . . . . . . identical to the first equation.

We choose to express this relation in standard form, which has the leading coefficient positive. Multiplying by -1 gives ...

-1(-x +5y) = -1(15)

x -5y = -15 . . . . . describes the solution set of this system

User Patrick Collins
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