Answer
This system has no solution.
Work Step by Step
$4x+2y=5$
$2x+y=-1$
Solve for in the second equation.
$2x+y=-1\longrightarrow$ Subtract 2x from both sides.
$2x+y-2x=-1-2x\longrightarrow$ Simplify.
$y=-1-2x$
Substitute for y in the first equation.
$4x+2(1-2x)=5\longrightarrow$ Simplify. Apply the distributive property.
$4x+2-4x=5\longrightarrow$ Simplify.
$2=5$
Since the substitution results in a false statement, there is no solution for this system of equations.
