Respuesta :

The solution would be (1,-2)

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).