Q:

2 (05.02)Solve the system of equations by substitution. What is the solution for x? (1 point)2x + y = 14x + 2y = -2O x=0oThere is no x value, as there is no solutionOx can be any value, as there is an infinite number of solutions.O x=2

Accepted Solution

A:
Answer:There is no [tex]x[/tex] value, as there is no solution.Step-by-step explanation:Given:The equations are:[tex]2x+y=1\\4x+2y=-2[/tex]Divide the 2nd equation by 2. This gives,[tex]\frac{4x}{2}+\frac{2y}{2}=\frac{-2}{2}\\2x+y=-1[/tex]Now, subtract equation 1 and 2.[tex]2x+y-2x-y=1-(-1)\\2x-2x+y-y=1+1\\0=2[/tex]We are getting 0 equal to 2 which is not possible as 0 is less than 2. So, there is no solution for this pair of equations.