math
posted by Anonymous .
two systems of equations are given below for each system, choose the best description of it solution.
1) the system has no solution
2) the system has a unique solution
3) the system has a infinitity many solutions. they must satisfy the following equation
x+4y=8
x4y=8
x2y=4
x+2y=4

If you add the first two equations, you will get 0 = 0
Any time you have a situation when the variables disappear and you end up with a true statement, there are an infinite number of solutions. Whatever (x,y) works in one equation will also work in the other.
The second set adds to 0 = 8
This is false which means there are no solutions. You cannot find an (x,y) that will work in both equations.
Respond to this Question
Similar Questions

math
How do you solve system of equations and tell if they're consistant and independant,consistant and dependent,and inconsistant? 
Algebra
Solve the system of equation by graphing. Then classify the system. 3x + y = 4, 4x + 5y = 24. Solution: Infinitity many solutions, no solution, System inconsistent/ consistent, Equation dependent/ independent. 
Grade 10 Math
Write an equation that forms a system of equations with x + y = 4, so that the system has: a) No solution b) Infinitely many solutions c) One solution I know how to figure out if two linear systems have a solution, but I don't understand … 
Algebra
Suppose a linear system of equations has 2012 equations and 2013 unknowns. Answer the following questions: Can the system be inconsistent? 
math
two systems of equations are giving below for each system choosethe best description of its solution if applicable give solution x+4y=8 x4y= 8 choose which one this problem fit in 1)the system has no solution 2) the system has a … 
math
Find conditions on k that will make the following system of equations have a unique solution. To enter your answer, first select whether k should be equal or not equal to specific values, then enter a value or a list of values separated … 
math help pls pls
Two systems of equations are shown below: System A 6x + y = 2 −x − y = −3 System B 2x − 3y = −10 −x − y = −3 Which of the following statements is correct about the two systems of equations? 
Maths
The equations x+ ky + 2z =0 x + (2k1)y + 3z =0 x + ky + (k+3)z = 2k1 Find the values of k such that a) the system has a unique solution b) the system has no solutions c) the system has infinitely many solutions Thanks 
math
The equations x+ ky + 2z =0 x + (2k1)y + 3z =0 x + ky + (k+3)z = 2k1 Find the values of k such that a) the system has a unique solution b) the system has no solutions c) the system has infinitely many solutions THANKS 
pre calculus
Create systems of equations in two variables that have (a) no solution, (b) one distinct solution, and (c) infinite solutions. Show that each system has the indicated number of solutions by using a graph or solving the system.