Savannah pays for a total of 29 kilowatts of power for a month of running 3 televisions and 4 refrigerators. The next month she uses a total of 27 kilowatts for 4 televisions and 3 refrigerators. How many kilowatts a month do televisions and refrigerators use? Write a system of equations to describe the situation below, solve using elimination. $Televisions \, use \, 3 \, kilowatts, \, \\ \, while \, refrigerators \, use \, 5 \, kilowatts.$

$Televisions \, 3 \, kW,\\ \, Refrigerators \, 5 \, kW.$

$Televisions \, 2 \, kW, \, \\ \, Refrigerators \, 3 \, kW.$

$Televisions \, 4 \, kW, \, \\ \, Refrigerators \, 8 \, kW.$

$Televisions \, 5 \, kW,\\ \, Refrigerators \, 4 \, kW.$

Jack went to the store to buy socks. He bought 4 sport socks and 2 warm socks for $\$26$. Next time he went to the same store he bought 2 sport socks and 4 warm socks for a total of $\$22$. Using the data he has, find out how much each type of sock costs. Write a system of equations to describe the situation below and solve using elimination. $Sport \, socks \, cost \, \$5 \, \\ \, while \, warm \, socks \, cost \, \$3.$

$\$5 \, per \, sport \, socks,\\ \, \$3 \, per \, warm \, socks.$

$\$6 \, per \, sport \, socks,\\ \, \$5 \, per \, warm \, socks.$

$\$2 \, per \, sport \, socks,\\ \, \$2 \, per \, warm \, socks.$

$\$7 \, per \, sport \, socks,\\ \, \$4 \, per \, warm \, socks.$

$\$5 \, per \, sport \, socks,\\ \, \$3 \, per \, warm \, socks.$

Isabelle pays for a total of 35 kilowatts of power for a month of running 5 televisions and 5 refrigerators. The next month she uses a total of 16 kilowatts for 2 televisions and 3 refrigerators. How many kilowatts a month do televisions and refrigerators use? Write a system of equations to describe the situation below, solve using elimination. $Televisions \, use \, 5 \, kilowatts, \, \\ \, while \, refrigerators \, use \, 2 \, kilowatts.$

$Televisions \, 5 \, kW,\\ \, Refrigerators \, 2 \, kW.$

$Televisions \, 7 \, kW, \, \\ \, Refrigerators \, 5 \, kW.$

$Televisions \, 3 \, kW,\\ \, Refrigerators \, 4 \, kW.$

$Televisions \, 4 \, kW, \, \\ \, Refrigerators \, 3 \, kW.$

$Televisions \, 5 \, kW,\\ \, Refrigerators \, 2 \, kW.$

Solve a System of Equations Using Elimination - Grade 8

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Grade 8 - Expressions & Equations

Standard 8.EE.C.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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