Question

2x + y = 5 x + y = 4 A. x = 1, y = 3 B. x = 1, y = 5 C. x = 3, y = 1 D. x = 9, y = -5

Answer 1

we are given with the system of equations

$2x + y = 5, x + y = 4$

Now we can solve these equations together using substitution method

$2x+y=5,y=4-x\\ \\ 2x+4-x=5\\ \\ x+4=5\\ \\ x=1$

Now substitute x=1 in in the second equation we get

$1+y=4\\ \\ y=4-1\\ \\ y=3\\ \\ Hence \ x=1,y=3$