For the following exercises, write the linear system from the augmented matrix.
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- For the following exercises, write the augmented matrix for the linear system. 8x37y=82x+12y=3arrow_forwardFor the following exercises, set up the augmented matrix that describes the situation, and solve for the desired solution. 56. Bikes’R’Us manufactures bikes, which sell for $250. It costs the manufacturer $180 per bike, plus a startup fee of $3,500. After how many bikes sold will the manufacturer break even?arrow_forwardFor the following exercises, set up the augmented matrix that describes the situation, and solve for the desired solution. 52. Every day, a cupcake store sells 5,000 cupcakes in chocolate and vanilla flavors. If the chocolate flavor is 3 times as popular as the vanilla flavor, how many of each cupcake sell per day?arrow_forward
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- For the following exercises, perform the given matrix operations. 22. Rewrite the augmented matrix as a system of linear equations. [103249612|1258]arrow_forwardFor the following exercises, perform the given matrix operations. 21. Rewrite the system of linear equations as an augmented matrix. 14x2y+13z=1402x+3y6z=1x5y+12z=11arrow_forwardFor the following exercises, set up the augmented matrix that describes the situation, and solve for the desired solution. 53. At a competing cupcake store, $4,520 worth of cupcakes are sold daily. The chocolate cupcakes cost $2.25 and the red velvet cupcakes cost $1.75. If the total number of cupcakes sold per day is 2,200, how many of each flavor are sold each day?arrow_forward
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