A variable needs to be eliminated to solve the system of equations below. Choose the correct first step. {:[2x+8y=-2],[-2x+9y=-32]:} Add to eliminate y. Subtract to eliminate y. Add to eliminate x. Subtract to eliminate x.

Question

A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.  {:[2x+8y=-2],[-2x+9y=-32]:} Add to eliminate  y. Subtract to eliminate  y. Add to eliminate  x. Subtract to eliminate  x.

Bytelearn · Accepted Answer

Identify Variable for Elimination: Analyze the system of equations to determine which variable can be easily eliminated. We have the system of equations: 2x + 8y = -2 -2x + 9y = -32 To eliminate a variable, we look for coefficients that are opposites or the same. Here, the coefficients of x are 2 and -2, which are opposites.Choose Elimination Operation: Decide on the operation to use for elimination. Since the coefficients of x are already opposites (2 and -2), we can add the two equations together to eliminate the x variable.Perform Check for Accuracy: Perform a quick check to ensure no math error has been made in the decision process. Adding the equations: (2x + 8y) + (-2x + 9y) = -2 + (-32) The x terms will cancel out, and we will be left with an equation in y only.

Full solution

More problems from Solve one-step multiplication and division equations: word problems

Related topics