The solution of the system of equation is x = 3 and y = 1.
System of the equation;
The relation between two variables is called a system of equations.
Given
The system of equations;
[tex]\rm x + 2y = 5 \\\\3x + 5y = 14[/tex]
From equation 1
[tex]\rm x+2y=5\\\\x=5-2y[/tex]
Substitute the values of x in equation 2
[tex]\rm 3x+5y=14\\\\3(5-2y)+5y=14\\\\15-6y+5y=14\\\\-y=14-15\\\\-y=-1\\\\y=1[/tex]
Substitute the value of y in equation 1
[tex]\rm x+2y=5\\\\x+2(1)=5\\\\x+2=5\\\\x=5-2\\\\x=3[/tex]
Hence, the solution of the system of equation is x = 3 and y = 1.
To know more about the system of equations click the link given below.
https://brainly.com/question/12895249
