Question

determine whether each ordered pair is a solution of the system of linear equations.$\begin{cases}x + y = 5\\2x + 5y = 13end{cases}$a. $(4,1)$b. $(2,3)$a. is $(4,1)$ a solution?yesno

Explanation:

Step1: Substitute (4,1) into first equation

$4 + 1 = 5$
$5 = 5$ (True)

Step2: Substitute (4,1) into second equation

$2(4) + 5(1) = 8 + 5 = 13$
$13 = 13$ (True)

Step3: Substitute (2,3) into first equation

$2 + 3 = 5$
$5 = 5$ (True)

Step4: Substitute (2,3) into second equation

$2(2) + 5(3) = 4 + 15 = 19$
$19
eq 13$ (False)

Answer:

a. Yes
b. No