Solve Systems of Equations Exactly and Approximately HSA.REI.C.6 Practice Question Lumos StepUp - SBAC Online Practice and Assessments - Grade 10 Mathematics

Lumos StepUp - SBAC Online Practice and Assessments - Grade 10 Mathematics Solve Systems of Equations Exactly and Approximately

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Shelly set up a system of equations to solve the following problem. What is wrong with her setup? What are the correct equations?

A music store receives shipments of keyboards and guitars. A shipment of 10 keyboards and 5 guitars costs $600. A shipment of 2 keyboards and 8 guitars costs $470. Find the cost of a keyboard and the cost of a guitar. \(\left\{ \begin{array}{c} 5k+10g=600 \\ 2k+8g=470 \end{array} \right.\)