Write a system of equations to describe the situation below and solve using elimination. Over the last two months Samantha has been keeping track of how many cuts and colors she has done at the salon. The first month she did 2 cuts and 5 colors and made $\$16$. The following month she made $\$17$ by doing 3 cuts and 4 colors. How much does a cut and a color cost at Samantha's salon? $Samantha \, charge \, \$3 \, for \, haircut \, \\ \, and \, \$2 \, for \, a \, coloring.$

$\$3 \, haircut, \, \\ \, \$2 \, coloring.$

$\$2 \, haircut, \, \\ \, \$4 \, coloring.$

$\$6 \, haircut, \, \\ \, \$3 \, coloring.$

$\$3 \, haircut, \, \\ \, \$2 \, coloring.$

$\$5 \, haircut, \, \\ \, \$5 \, coloring.$

Write a system of equations to describe the situation below and solve using elimination. Over the last two months Michael has been keeping track of how many cuts and colors he has done at the salon. The first month he did 5 cuts and 5 colors and made $\$30$. The following month he made $\$20$ by doing 4 cuts and 2 colors. How much does a cut and a color cost at Michael's salon? $Michael \, charge \, \$4 \, for \, haircut \, \\ \, and \, \$2 \, for \, a \, coloring.$

$\$4 \, haircut, \, \\ \, \$2 \, coloring.$

$\$6 \, haircut, \, \\ \, \$5 \, coloring.$

$\$4 \, haircut, \, \\ \, \$2 \, coloring.$

$\$2 \, haircut, \, \\ \, \$3 \, coloring.$

$\$3 \, haircut, \, \\ \, \$4 \, coloring.$

Isabella teaches both a morning and an evening math class. On the midterm 3 morning students wrote it as well as 2 evening students. A sum of all their marks gave a grand total of 16. For the final there was a grand total of 28 marks, but it was written by 5 morning students and 4 evening students. What is the average mark for both classes? Write a system of equations to describe the situation below, solve using elimination. $Morning \, class \, has \, an \, average \, of \, 4, \, \\ \, but \, the \, evening \, class \, has \, an \, average \, of \, 2.$

$Morning \, average: \, 4 \, \\ \, Evening \, average: \, 2$

$Morning \, average: \, 2 \, \\ \, Evening \, average: \, 5$

$Morning \, average: \, 7 \, \\ \, Evening \, average: \, 4$

$Morning \, average: \, 5 \, \\ \, Evening \, average: \, 3$

Solve a System of Equations Using Elimination - Grade 8

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Grade 8 - Expressions & Equations

Standard 8.EE.8c - Practice solving a system of equations with word problems using the elimination method.

Included Skills:

Analyze and solve pairs of simultaneous linear equations. Solve real-world and mathematical problems leading to two linear equations in two variables.

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