Solving Systems of Equations using Substitution
The solution to this system of equations.
y=-2
y=4x+6
What is (-2,-2)?
The solution to this system of equations.
−3x+2y=56
−5x−2y=24
What is (-10,13)?
The type of line is the solution to the system of equations.
y=-2x+4
7y=-14x+28
What is the same line?
The equation of the line below in standard form.
Y=-3/10x-8
What is 3x+10y=-80?
The word problem uses system of equations.
At the end of the 2000 baseball season, the New York Yankees and the Cincinnati Reds had won a total of 31 World Series. The Yankees had won 5.2 times as many World Series as the Reds. How many World Series did each team win?
What is Yankees 26 an Reds 5?
The solution to this system of equations.
y=3x
y=-5x-8
What is (-1,-3)?
The solution to this system of equations.
−9x+4y=6
9x+5y=−33
What is (-2,-3)?
The type of line is the solution to the system of equations.
y=4x-7
y=x-3
What is intersecting lines?
The equation of the line below in standard form.
Y+4=-6(x+6)
What is 6x+y=-40?
The word problem uses system of equations.
A youth group and their leaders visited Mammoth Cave. Two adults and 5 students in one van paid $77 for the Grand Avenue Tour of the cave. Two adults and 7 students in a second van paid $95 for the same tour. Find the adult price and the student price of the tour.
What is 16 adults and 9 students?
The solution to this system of equations.
x-y=2
4x-3y=11
What is (5,3)?
The solution to this system of equations.
−5y−10x=45
−3y+10x=−5
What is (-2,-5)?
The type of line is the solution to the system of equations.
y=x+7
y=x-8
What is parallel lines?
The equation of the line below in standard form.
Y=6/5x+9
What is -6x+5y=45?
The word problem uses system of equations.
During the National Football League’s 1999 season, Troy Aikman, the quarterback for the Dallas Cowboys, earned $0.467 million more than Deion Sanders, the Cowboys cornerback. Together they cost the Cowboys $12.867 million. How much did each player make?
What is Aikman $6.667 million and Sanders $6.2 million?
The solution to this system of equations.
y=2x-5
4x-y=7
What is (1,-3)?
The solution to this system of equations.
−5y+8x=−18
5y+2x=58
What is (4,10)?
The type of line is the solution to the system of equations.
3y=-6x+9
y=-6x+9
What is intersecting lines?
The equation of the line below in standard form.
Y-10=9(x+8)
What is -9x+y=82?
The word problem uses system of equations.
The owners of the River View Restaurant have hired enough servers to handle 17 tables of customers, and the fire marshal has approved the restaurant for a limit of 56 customers. How many two-seat tables and how many four-seat tables should the owners purchase?
What is Two-Seated 6 and Four-Seated 11?
The solution to this system of equations.
x=4+y
2x-3y=1
What is (11,7)?
The solution to this system of equations.
9x−6y=15
9x−10y=145
What is (5,-10)?
The type of line is the solution to the system of equations.
x+y=3
5x+5y=15
What is the same line?
The equation of the line below in standard form.
y=-1/3x-9
What is x+3y=-27?
The word problem uses system of equations.
The price of a cellular telephone plan is based on peak and nonpeak service. Kelsey used 45 peak minutes and 50 nonpeak minutes and was charged $27.75. That same month, Mitch used 70 peak minutes and 30 nonpeak minutes for a total charge of $36. What are the rates per minute for peak and nonpeak time?
What is Peak $.45 and Nonpeak $.15?