Respuesta :
y=-x+5/2..................(2)
the slopes of equations (10) & (2) are same and the intercepts are different
so the lines are parallel.
it has no solution
the slopes of equations (10) & (2) are same and the intercepts are different
so the lines are parallel.
it has no solution
Answer:
no solution.
Step-by-step explanation:
The given system of equations is
[tex]x+y=3[/tex]
[tex]2x+2y=5[/tex]
If two equations are defined as [tex]ax_1+by_1+c_1=0\text{ and }ax_2+by_2+c_2=0[/tex], and [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex], then lines are parallel.
In the given equations [tex]a_1=1,b_1=1,c_1=-3,a_2=2,b_2=2,c_2=-5[/tex].
[tex]\dfrac{a_1}{a_2}=\dfrac{1}{1}=1[/tex]
[tex]\dfrac{b_1}{b_2}=\dfrac{2}{2}=1[/tex]
[tex]\dfrac{c_1}{c_2}=\dfrac{-3}{-5}=\dfrac{3}{5}[/tex]
[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex]
So, the lines are parallel and parallel lines neven intersect each other.
Therefore, the given system of equation have no solution.
