Solving Systems of Equations with Substitution

What is one limitation of solving systems of equations by graphing?

• It does not require graph paper.

• It is the only method to solve systems of equations.

• It can be time-consuming and may involve fractions.

• It always results in integer solutions.

When is it preferable to use the substitution method?

• When graphing is not possible.

• When both variables are isolated.

• When the equations are in standard form.

• When a variable has a coefficient of one or negative one.

Why is it easier to isolate a variable with a coefficient of one?

• Because it eliminates the need for graphing.

• Because it makes the variable equal to zero.

• Because it simplifies the equation.

• Because it avoids dealing with fractions.

What is the first step in solving for x in the equation x = -2y + 10?

• Add 2y to both sides.

• Subtract 2y from both sides.

• Multiply both sides by 2.

• Divide both sides by 2.

What do you do after isolating a variable in one of the equations?

• Check the solution immediately.

• Solve for the other variable directly.

• Substitute the expression into the other equation.

• Graph the equation.

What is the result of substituting x = -2y + 10 into the equation 4x + 3y = 10?

• 4x + 3(-2y + 10) = 10

• 4(-2y + 10) + 3y = 10

• 4x + 3y = -2y + 10

• 4(-2y + 10) + 3(-2y + 10) = 10

After substituting and simplifying, what is the next step to solve for y?

• Combine like terms.

• Isolate x.

• Graph the equation.

• Check the solution.

What is the value of y after solving the equation -5y + 40 = 10?

• y = 5

• y = 6

• y = -6

• y = -5

How do you find the value of x after determining y = 6?

• Substitute y = 6 into the original equation for y.

• Substitute y = 6 into the isolated equation for x.

• Check the solution immediately.

• Graph the solution.

What is the final solution for the system of equations?

• x = 6, y = -2

• x = -2, y = 6

• x = 2, y = -6

• x = -6, y = 2