For this case we have the following system of equations:
[tex]y = x + 3\\3x + y = 19[/tex]
We solve by the substitution method:
We substitute the first equation in the second equation:
[tex]3x + x + 3 = 19[/tex]
We add similar terms:
[tex]4x + 3 = 19[/tex]
We subtract 3 from both sides of the equation:
[tex]4x = 19-3\\4x = 16[/tex]
We divide between 4 on both sides of the equation:
[tex]x = \frac {16} {4}\\x = 4[/tex]
We look for the value of the variable y:
[tex]y=x+3\\y=4+3\\y=7[/tex]
Finally, the solution of the system is:
[tex](x, y) :( 4,7)[/tex]
Answer:
[tex](x, y) :( 4,7)[/tex]
