Multiple Choice
Use substitution to solve the following system of linear equations.
1
comments
18. Systems of Equations and Matrices
Two Variable Systems of Linear Equations
Struggling with Precalculus?
Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
Solve the following system of equations. Classify it as CONSISTENT (INDEPENDENT or DEPENDENT) or INCONSISTENT.
A
Consistent and Independent
B
Consistent and Dependent
C
Inconsistent
Verified step by step guidance1
Step 1: Write down the given system of equations. The first equation is 2x + 8y = 7, and the second equation is x + 4y = 19.
Step 2: Simplify the first equation by dividing all terms by 2 to make it easier to compare with the second equation. This gives x + 4y = 3.5.
Step 3: Compare the simplified first equation (x + 4y = 3.5) with the second equation (x + 4y = 19).
Step 4: Notice that the left-hand sides of both equations are identical, but the right-hand sides are different (3.5 ≠ 19).
Step 5: Conclude that the system of equations is inconsistent because the equations represent parallel lines that never intersect, meaning there is no solution.
4:27mWatch next
Master Introduction to Systems of Linear Equations with a bite sized video explanation from Patrick
Start learningRelated Videos
Related Practice
Two Variable Systems of Linear Equations practice set
Problem sets built by lead tutorsExpert video explanations