Solving Systems of Equations by Substitution

When is the substitution method most beneficial?

• When the system involves multiplication

• When a variable has a coefficient of 1 or -1

• When graphing is too complex

• When all variables have coefficients greater than 1

Why is it easier to use substitution when a variable's coefficient is 1?

• It makes graphing unnecessary

• It avoids the need to undo multiplication or division

• It simplifies the multiplication process

• It eliminates the need for division

What is the first step in the substitution method?

• Substitute numbers for variables

• Multiply both sides by the coefficient

• Solve for one variable in terms of the others

• Graph the equations

Tags

CCSS.HSA.REI.C.6

What do you do after isolating a variable in the substitution method?

• Divide both sides by the coefficient

• Graph the equation

• Solve for the variable immediately

• Substitute the isolated variable into the other equation

Tags

CCSS.HSA.REI.C.6

What is the result of substituting an expression for a variable in another equation?

• An equation with no variables

• An equation that is unsolvable

• An equation with two variables

• An equation with one variable

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.B.3

How do you find the value of the second variable after solving for the first?

• By multiplying the equations

• By graphing the solution

• By substituting the solved value into the isolated variable's equation

• By adding it to the original equation

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.C.6

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

What kind of system is it if the equations intersect at one point?

• Consistent and independent

• Dependent

• Inconsistent

• None of the above

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What does solving a system by substitution ultimately provide?

• The graph of the equation

• The values of both variables

• The coefficient of the variable

• The value of one variable

Tags

CCSS.HSA.REI.C.6

What indicates a consistent and independent system?

• The system has no solution

• The system has infinitely many solutions

• The system's equations intersect at one point

• The system's equations are parallel

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is necessary to do after solving for x in the substitution method?

• Check the solution by substitution

• Substitute the value of x into the isolated variable's equation

• Graph the solution on a coordinate plane

• Solve for y using the original equation