Respuesta :
The solution of the system of equation is x = 6 and y =3.
Given that
The system of the equation;
[tex]\rm x+3y = 15\\\\4x+2y=20[/tex]
We have to find
The solution of the system of equation.
According to the question
The solution of the system of equation is determined in the following steps given below.
The system of the equation;
[tex]\rm x+3y = 15\\\\4x+2y=20[/tex]
From equation 1,
[tex]\rm x+3y = 15\\\\x = 15-3y[/tex]
Substitute the value of x in equation 2,
[tex]\rm 4x+2y=30\\\\4(15-3y)+2y=30\\\\60-12y+2y=30\\\\-10y=30-60\\\\-10y=-30\\\\y = \dfrac{-30}{-10}\\\\y = 3[/tex]
Substitute the value of y in equation 1,
[tex]\rm x +3y = 15\\\\x +3(3)=15\\\\x+9=15\\\\x =15-9\\\\x=6[/tex]
Hence, the solution of the system of equation is x = 6 and y =3.
To know more about System of Equation click the link given below.
https://brainly.com/question/26176817
