[tex] x-2y=6\ \ \ |+2y\\x=6+2y\\\\\text{substitute to the second equation}\\\\5x-3y=44\to5(6+2y)-3y=44\\\\\text{use the distributive property}\\\\(5)(6)+(5)(2y)-3y=44\\30+10y-3y=44\ \ \ |-30\\7y=14\ \ \ |:7\\y=2\\\\\text{substitute the value of y to the equation}\ x=6+2y\\\\x=6+2(2)\\x=6+4\\x=10\\\\Answer:\ x=10,\ y=2\to(10,\ 2) [/tex]
