Respuesta :
Answer:
The value of x=10.5 and y=3.5.
Step-by-step explanation:
Given : Equations [tex]3x-y=28[/tex] and [tex]x+y=14[/tex]
To find : Solve the system using elimination?
Solution :
Equitation 1 -[tex]3x-y=28[/tex]
Equation 2 - [tex]x+y=14[/tex]
Eliminate y from both the equation by adding them,
[tex]3x-y+x+y=28+14[/tex]
[tex]4x=42[/tex]
[tex]x=\frac{42}{4}[/tex]
[tex]x=10.5[/tex]
Eliminate x by multiplying (2) by 3 and subtract from (1),
[tex]3x-y-3x-3y=28-42[/tex]
[tex]-4y=-14[/tex]
[tex]y=\frac{14}{4}[/tex]
[tex]y=3.5[/tex]
Therefore, The value of x=10.5 and y=3.5.
