Respuesta :
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.
To create opposite like terms of x variables, the first equation can be multiplied by 2 and the second equation by 3
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.
Given information-
The system of equation given in the problem is,
[tex]-3 x +2 y = 20[/tex]
Let the above equation as the equation number 1.
The second equation given in the problem is,
[tex]2 x+ 11 y = -1[/tex]
Let the above equation as the equation number 2.
As the coefficient of x is -3 in the first equation thus multiply the above equation by 3 to make opposite term as,
[tex]3\times2 x+3\times 11 y =3\times( -1)\\6x+33y=-3[/tex]
Let the above equation is equation 3.
The first equation given in the problem is,
[tex]-3 x +2 y = 20[/tex]
As the coefficient of y is 2 in the second equation thus multiply the above equation to make opposite wise term as,
[tex]2\times-3 x +2\times2 y = 2\times20\\-6x+4y=40[/tex]
Let the above equation is equation 4.
Compare the equation 3 and 4, we get that both the equation has the equivalent system of equations with opposite like terms of x variables.
Hence, to create opposite like terms of x variables, the first equation can be multiplied by 2 and the second equation by 3
Learn more about the system of equations here;
https://brainly.com/question/13729904
