Question

which of these ordered pairs is a solution to this equation? y = -5x (7, 35) (-6, 30)

Explanation:

Step1: Check the first ordered pair \((7, 35)\)

Substitute \(x = 7\) into the equation \(y=-5x\). We get \(y=-5\times7=-35\). But the \(y\)-value in the ordered pair is \(35\), which is not equal to \(-35\). So \((7, 35)\) is not a solution.

Step2: Check the second ordered pair \((-6, 30)\)

Substitute \(x = -6\) into the equation \(y=-5x\). We calculate \(y=-5\times(-6)=30\). The \(y\)-value from the substitution is \(30\), which matches the \(y\)-value in the ordered pair \((-6, 30)\). So \((-6, 30)\) is a solution.

Answer:

\((-6, 30)\)