Question

Solve the equation for x by graphing negative 2x + 3 equals negative 3x - 2

Answer 1

The correct answer is option A

First, let us simplify the expression, before plotting the graph and obtaining the

solution for x

`\begin{gathered} -2^x+3=-3^(-x)-2 \\ y=-2^x+3+3^(-x)+2 \\ \end{gathered}`

So plotting the above equation on the graph, the point where the graph cuts the x-axis will be the solution, hence the value of x

From this plot, the solution gave us a value of 2.344 ( meaning x= 2.344)

Then going through the options, the correct answer will be:

`\begin{gathered} x\approx2.35 \\ \text{This is the closest answer to the actual value on the graph} \end{gathered}`

Therefore the correct answer is option A