7
QuizMultiple Choice

Solving Systems of Linear Equations: Linear Combinations — Quiz

Question 7 • Algebra I

How many solutions are there to the system of equations? 4 x minus 5 y is equal to 5 is added to negative 0.08 x plus 0.10 y equals 0.10

Answer
A
no solutions
B
an infinite number of solutions
C
two solutions
D
one solution

Explanation

Multiply the second equation, −0.08x + 0.10y = 0.10, by −50 to get 4x − 5y = −5. The first equation says 4x − 5y = 5, so the same expression would have to equal two different numbers. The equations are inconsistent, so there are no solutions.

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