Question

A student graphs 5x−y=7 on a coordinate plane. Which equation, when graphed on the same coordinate plane, will result in a system of equations with no solution? 5x−y=7 5 x − − y = 7 5x−y=1 5 x − − y = 1 x−5y=35 x − − 5 y = 35 x−5y=5

Answer 1

5x−y=1

Explanation:

An equation is a statement that shows the equality between two expressions.

An equation is said to have no solutions if after solving the equation and the result is a statement like a = b, where a and b are different numbers.

The equation after it is simplified would have the same coefficients and different constant.

Given:

5x−y=7

An equation that will result in a system of equations with no solution will have the same coefficient but different constant.

Hence 5x−y=1, would give a system of equations with no solution.

Simplifying gives:

7 = 1 (no solution)