Solving Systems of Linear Equations: Linear Combinations

Question 1

Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together?5x + 13y = 23212x + 7y = 218The first equation can be multiplied by –13 and the second equation by 7 to eliminate y. The first equation can be multiplied by 7 and the second equation by 13 to eliminate y. The first equation can be multiplied by –12 and the second equation by 5 to eliminate x.The first equation can be multiplied by 5 and the second equation by 12 to eliminate

Revolt · Accepted Answer

The first equation can be multiplied by –12 and the second equation by 5 to eliminate x.

Question 2

([___] , [___] )

Revolt · Accepted Answer

74056; 74057; 3

Question 3

([___] , [___] )

Revolt · Accepted Answer

-2

Question 4

A deli sells sliced meat and cheese. One customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50. A sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50. The system of equations below represents the situation.

Revolt · Accepted Answer

The variable x represents the .: cost per pound of meat; The variable y represents the .: cost per pound of cheese; The deli charges $ .: 4.50 for a pound of meat

Question 5

The variable y represents the[___] .

Revolt · Accepted Answer

cost per pound of cheese

Question 6

The deli charges $[___] .

Revolt · Accepted Answer

4.50 for a pound of meat

Question 7

The equation that represents the total number of members is[___] .

Revolt · Accepted Answer

x+ y = 55; The equation that represents the total number of members is .: x+ y = 55; The equation that represents the total number of seniors is .: (1/3)x + (1/5)y = 13; The diving club has more members than the swim club.: 25

Question 8

The equation that represents the total number of seniors is[___] .

Revolt · Accepted Answer

(1/3)x + (1/5)y = 13

Question 9

The diving club has [___] more members than the swim club.

Revolt · Accepted Answer

25

Question 10

The solution is [___].

Revolt · Accepted Answer

(–2, 3)

Solving Systems of Linear Equations: Linear Combinations Answers

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