Question

question 1
$x - y = 11$
$2x + y = 19$
options:
infinite number of solutions
(10, -1)
no solution
(-1, 10)

Explanation:

Step1: Isolate $x$ from first equation

$x = y + 11$

Step2: Substitute $x$ into second equation

$2(y + 11) + y = 19$

Step3: Simplify and solve for $y$

$2y + 22 + y = 19$
$3y = 19 - 22$
$3y = -3$
$y = -1$

Step4: Substitute $y$ back to find $x$

$x = -1 + 11 = 10$

Answer:

(10, -1)