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Home > A2C > Chapter 8 > Lesson 8.1.2 > Problem 8-33


Mary has an antique marble collection containing 40 marbles. She has five more red marbles than blue and twice as many red as green marbles. Write a system of equations and use matrices to find the number of each color of marble. Homework Help ✎

Let b = the number of blue marbles, r = the number of red marbles,
and g = the number of green marbles.

b + 5 = r
2g = r
r + g + b = 40

Solve the system of equations using a combination of substitution and elimination.