Graph the equation x – y = 5.
Find the value of k such that the point P lies on the line L.
P(3, 2)
L: 2x + ky = 12
Verify whether the given ordered pair is a solution of the system.
(4, –2)
3x – y= 14
–2x – 3y = –2
Describe the graph of p = 3q + 1 and p = –q + 5. Determine the number of solutions.
Describe the graph of 2x + y = 11 and 2x + y = 2. Determine the number of solutions.
Graph the equations. Find the point of intersection from the graph. Verify the solution by substituting in the equations. 3x + 5y = 0 and 3x + y = 12.
Graph the following system and find its solution. Also verify algebraically.
x + 4y = –1
x + 3y = 0
Is the system consistent and independent,consistent and dependent or inconsistent?
Solve the given two equations and check whether the system is consistent and independent, consistent and dependent, or inconsistent.
–2x – 2y = –4
6x + 3y = 18
2x – y = 4
x – y = 4
3x + 6y = 6
x + 2y = 2
9x + 12y = 8
Draw a graph to find the solution ofy = x – 1 and y = –4x + 9.
Draw a graph to find the solution of 2m – n = 7 and m + n = 2.
Graph the equations in the same coordinate plane. Estimate the solution to the nearest half unit. y = 4x and x + y = 8
Determine graphically whether the ordered pair (3, –1) is a solution of the following system of equations, and check using algebra.
4x – y = 13
–3x + 2y = –11
Determine algebraically whether the ordered pair (0, 2) is a solution of the following system of equations, and check with a graph.
x + 3y = 4
3x + y = –2
Given the equation 7x – 3y = 9, find another so that the system of equations will not have any solution.
Given the equation , find another so that the system of equations will have one solution.
Find the values of m and n, if the given system of equations is consistent and dependent.
4x – 5y = 3
mx + ny = 2
3x – y = 14
Is the system consistent and independent, consistent and dependent or inconsistent?
Draw a graph to find the solution of y = x – 1 and y = –4x + 9.
