Respuesta :
Answer:
The solution of the equations is (1,-2).
Step-by-step explanation:
Given : Equations [tex]\frac{7}{2}x-\frac{1}{2}y=\frac{9}{2}[/tex] and [tex]3x-y=5[/tex]
To find : What is the solution of the system of equations?
Solution :
Simplify the first equation,
[tex]7x-y=9[/tex] ....(1)
[tex]3x-y=5[/tex] .....(2)
Subtracting (2) from (1),
[tex]7x-y-3x+y=9-5[/tex]
[tex]4x=4[/tex]
[tex]x=1[/tex]
Substitute in (1),
[tex]7(1)-y=9[/tex]
[tex]y=-2[/tex]
Therefore, the solution of the equations is (1,-2).