Identify the impact of each of the given transactions on the accounting equation.

$\backslash$table$[[$Transactions$,,],[$a$.$ The company provides services for cash.,,$],[$b$.$ The company purchases supplies on credit.,Decreases an asset and decreases a liability.,$],[$c$.$ The company purchases equipment for cash.,Decreases an asset and decreases equity.,$],[$d$.$ The owner invests cash in the business.,Increases an asset and decreases an asset.,$],[$e$.$ The company purchases supplies for cash.,Increases an asset and increases a liability.,$],[$f$.$ The company pays cash toward an account payable.,,$]]$