Answer:
Both equations has different slope , so the system of equation have one unique solution.
Step-by-step explanation:
[tex]2x+y=4[/tex] , [tex]2y=6-2x[/tex]
To determine that the system of equation has unique solution, we need to find out the slope.
To find slope, we write the equation in the form of y=mx+b
Where m is the slope and b is the y intercept
[tex]2x+y=4[/tex]
Subtract 2x on both sides
[tex]y=-2x+4[/tex]
here, m= -2 is the slope
[tex]2y=6-2x[/tex]
Divide both sides by 2
[tex]y=3-x[/tex]
[tex]y=-x+3[/tex]
Slope m = -1
Both equations has different slope , so the system of equation have one unique solution.
