Which is the best approximation for the solution of the system of equations?
y = -2/5x + 1
y = 3x - 2
(0.88, 0.65)
Heather writes the equations below to represent two lines drawn on the coordinate plane.
-6x + 18y = 0
4x - 12y = 20
After applying the linear combination method, Heather arrived at the equation 0 = 60. What conclusion can be drawn about the system of equ
The equation has no solution; therefore, the system of equations has no solution.
The table can be used to determine the solution to the system of equations, 2y ? x = 8, and y ? 2x = ?5.
Which solution can be used to fill in both blanks in the table?
(6, 7)
What is the x-value of the solution to the system of equations?
5x + 4y = 8
2x ? 3y = 17
4
Martin has a combination of 33 quarters and dimes worth a total of $6. Which system of linear equations can be used to find the number of quarters, q, and the number of dimes, d, Martin has?
q + d = 33 0.25q + 0.1d = 6
The math team wraps gifts as a way to raise money for traveling to competitions. They offer two choices: a plain wrapping or a decorative wrapping with bows. The table represents the money raised over a busy shopping weekend.
Which statement describes the
The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow.
Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown.
Shop Shawn used: y = 10 + 3.5x
Shop Dorian used: y = 6x
If Shawn and Dorian each rented bikes for
$24
The solution to the system of equations shown is (2, 0).
3x ? 2y = 6
x + 4y = 2
When the first equation is multiplied by 2, the sum of the two equations is equivalent to 7x = 14
.
Which system of equations will also have a solution of (2, 0)?
x + 4y = 2
7x = 14
Lukas graphed the system of equations shown.
2x + 3y = 2
y = 1/2x + 3
What is the solution to the system of equations?
(-2, 2)
Which statements about the system are true? Check all that apply.
y = 1/3x - 4
3y - x = -7
The system consists of parallel lines.
Both lines have the same slope.
A pilot flew a 400-mile flight in 2.5 hours flying into the wind. Flying the same rate and with the same wind speed, the return trip took only 2 hours, with a tailwind.
What was the speed of the wind?
20 miles per hour
What is the y-value of the solution to the system of equations?
3x + 5y = 1
7x + 4y = ?13
2
A system of equations has infinitely many solutions. If 2y - 4x = 6 is one of the equations, which could be the other equation?
-y = -2x - 3
A rectangular bird feeder costs $18.00. A cylindrical bird feeder costs $24.00. The expected cost to keep the rectangular bird feeder filled is $3.00 per week. The expected cost the keep the cylindrical bird feeder filled is $2.00 per week. The equation b
the number of weeks the bird feeders are filled
What is the solution to the system of equations?
y = 2x - 3.5
x - 2y = -14
(7, 10.5)