객관식
Use substitution to solve the following system of linear equations.
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18. Systems of Equations and Matrices
Two Variable Systems of Linear Equations
객관식
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
검증된 단계별 안내1
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.
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