Is the ordered pair $(2,-1)$ a solution to the equation $4x-y=9$?

Classify the system 2x + 3y = 6 and 4x + 6y = 12 by choosing the correct label.

A telecommunications company offers two bundles. Bundle A offers: 500 MB data + 100 texts for \(20; and Bundle B offers: 1 GB data + 250 texts for \)40. A customer buys an unknown combination of bundles and receives a total of 3 GB data and 700 texts. Let x = number of Bundle A, and y = number of Bundle B. Set up a systems of equations and solve for the system to find the values of x and y. Also, verify if the pair is correct.

Is the ordered pair $(3,-1)$ a solution to the system $\{\begin{array}{c}2x+y=5\\ x-2y=5\end{array}$?

Solve for $y$:

$4(x-2)-3y=8$

Consider the system { ax + by = c ; 2ax + 2by = 2c } for nonzero values: a, b, and c. Determine what the set of solutions will be and explain your results in terms of ordered pairs and lines.

Without solving, which algebraic method would be the most efficient strategy for the system $\{\begin{array}{c}x=3y-4\\ 7x-2y=10\end{array}$, and why?

Which step should always be performed first when preparing to use the elimination method on a pair of linear equations?

Solve the system by selecting efficient multipliers: 4x − 9y = −5 and 7x + 9y = 44. Then, provide the solution as an ordered pair.

Which statement best defines the solution set of a system of linear inequalities?

Consider the system: y ≤ -x + 4 and y > (1/2)x - 1. Find the coordinates of the corner point where the two boundary lines intersect (the pair of boundary lines treated as equations).

A small catering company must prepare at least 40 servings of vegetarian dishes and at least 30 servings of meat dishes for an event. Each vegetarian platter serves v people and each meat platter serves m people; one vegetarian platter serves 8 people and one meat platter serves 6 people. Let x = number of vegetarian platters and y = number of meat platters. Which system of inequalities models the minimum serving constraints?