Respuesta :
The system of equation is solved by the substitution method. The value of x and y are 54/5 and 8/5 respectively.
What is system of equation?
A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
The first equation given in the problem is,
[tex]2x-6y=12[/tex]
Add -6y both sides of the equation as,
[tex]2x=12+6y[/tex]
Divide with the number 2 on both sides of the equation,
[tex]x=6+3y[/tex] .......1
Now, the second equation of the system is,
[tex]x+2y=14[/tex]
Put the value of x obtained by equation 1 in this equation as,
[tex]6+3y+2y=14\\6+5y=14\\5y=14-6\\y=\dfrac{8}{5}[/tex]
Now, put this value of y in equation number 1 as,
[tex]x=6+3\left(\dfrac{8}{5}\right)\\x=\dfrac{30+24}{5}\\x=\dfrac{54}{5}[/tex]
Hence, the system of equation is solved by the substitution method. The value of x and y are 54/5 and 8/5 respectively.
Learn more about the system of equations here;
https://brainly.com/question/13729904
