Solve a system of linear equations using substitution

What is the first step in solving a system of equations using substitution?

• Substitute any variable into the other equation.

• Isolate the variable with the highest coefficient.

• Solve for both variables simultaneously.

• Choose the variable that is easiest to isolate.

When isolating a variable, what should you do if the variable is being added by another term?

• Divide both sides by the term.

• Subtract the term from both sides.

• Multiply both sides by the term.

• Add the same term to both sides.

What is the purpose of substituting the isolated variable into the other equation?

• To create an equation with only one variable.

• To simplify the original equation.

• To eliminate all variables.

• To check if the solution is correct.

How do you simplify the expression 15/10?

• 1/2

• 2/3

• 5/3

• 3/2

What is the final step after finding the value of Y in a substitution problem?

• Substitute Y back into the original equation to find X.

• Divide Y by the coefficient of X.

• Recheck the entire solution.

• Multiply Y by the coefficient of X.

What is the value of X when Y equals 3/2 in the given system of equations?

• -3

• 5

• 3

• -5

Why is it beneficial to have a variable isolated in a system of equations?

• It makes the equation more complex.

• It allows for easier substitution into the other equation.

• It provides a direct solution to the system.

• It eliminates the need for further calculations.