Systems of Equations

A system of equations is graphed on the coordinate plane. y=−6x−3 y=−x+2 What is the solution to the system of equations?

(-1,3)

A system of equations is graphed on a coordinate plane. Which coordinates are the best estimate of the solution to the system of equations? 5x - y = 9 2x + 6 = 13

(2,2)

What is the solution of the system? Use the elimination method. {4x+2y=18 2x+3y=15

(3,3)

What is the solution for the system of equations? Use the substitution method to solve. 2x+y=20−5 y=−6x+12

(7,6)

A cafe only sells two types of sandwiches, turkey and steak. The cafe charges $4 for turkey sandwiches and $6 for steak sandwiches. Last month, the cafe sold $4524 worth of sandwiches. The cafe sold a total of 925 sandwiches. How many turkey sandwiches did they sell?

513 turkey sandwiches

Which statements are true the ordered pair (1, 2)(1, 2), and the system of equations? y=−2x+4 7x−2y=3

The ordered pair (1, 2)(1, 2) is a solution to the system of linear equations. When (1, 2)(1, 2) is substituted into the second equation, the equation is true. When (1, 2)(1, 2) is substituted into the first equation, the equation is true.

Justin is considering two websites for downloading music. The costs are detailed here. Website 1: a yearly fee of $30 and $1.50 for each download Website 2: $2 for each download What is a system of equations to represent the costs for one year? Express your equations in the form of y=mx+b where x is the number of downloads for the year and y is the total cost for the year.

Website 1: y = 1.5x + 30 Website 2: y = 2x

Is the system of equations **consistent and independent, consistent and dependent, or inconsistent? y=4x−4 y=−4x+4

consistent and independent

Is the system of equations **consistent and independent, consistent and dependent, or inconsistent? y=−x−13 y=−3x+2

inconsistent

A system of equations is graphed on the coordinate plane. 2y=3x−14 y=6x−2

infinitely many solutions