Question

1. consider the linear equation 2y - 3x = 5. the pair (-1,1) is a solution to the equation. find another (x,y) pair that is a solution to the equation.

Explanation:

Step1: Substitute the given point

We are given the linear equation \(2y - 3x=5\) and the point \((- 1,1)\) is a solution. Let's assume another value for \(x\), say \(x = 0\).

Step2: Solve for \(y\)

Substitute \(x = 0\) into the equation \(2y-3x = 5\). We get \(2y-3\times0 = 5\), which simplifies to \(2y=5\). Then \(y=\frac{5}{2}\).

Answer:

The pair \((0,\frac{5}{2})\) is another solution to the equation \(2y - 3x=5\)