What is the solution to the system of linear equations?

{2x+4y=38

10x+3y=105

This is the concept of simultaneous equations, the question requires us to solve the system of equations given by:

2x+4y=38

10x+3y=105

from the top equation;

2x=38-4y

dividing through by 2 we get:

x=19-2y ... (*)

substituting (*) in the second equation we get:

10x+3y=105

10 (19-2y) + 3y=105

190-20y+3y=105

collecting like terms we get:

-20y+3y=105-190

-17y=-85

dividing both sides by - 17 we get:

(-17y) / (-17) = (-85) / (-17)

y=5

thus

x=19-2y

x=19-2*5

x=19-10

x=9

thus

x=9 and y=5