Solve the following system of equations using the substitution method: x + 2y - z = 4 2x - y + 3z = 7 3x + y + 2z = 1
Solving a System of Equations with Simple Substitution

Quiz
•
Mathematics
•
9th Grade
•
Hard
Anthony Clark
FREE Resource
19 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The system of equations has infinitely many solutions.
The system of equations has exactly one solution.
The system of equations is dependent and has no unique solution.
The system of equations is inconsistent and has no solution.
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the substitution method used for in solving 3-variable systems?
To solve for one variable and substitute it into the other equations.
To graph the system of equations.
To solve for all variables simultaneously.
To find the determinant of the coefficient matrix.
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
When using the substitution method, what is the first step to substitute one variable?
Multiply both sides of the equation by a constant.
Solve one of the equations for one variable in terms of the other variable.
Simplify the equation.
Rearrange the equation to isolate one variable.
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which method is most suitable for solving 3-variable systems when the coefficients are simple and easy to work with?
matrix method
graphing method
substitution method
elimination method
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the solution to this system? Solve by substitution.
y= 4x + 3
2x - 3y = 21
(3,-9)
(-3,-9)
(-3,9)
(0,1)
6.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
solve by substitution: y=3x+14
y=-4x
y=3
y=1
y= - 2
y=4
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the following systems of equations using substitution:
x = 5
2x + y = 10
No solution
(0, 5)
(5, 10)
(5, 0)
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