Answer:
no
Step-by-step explanation:
using the values of the ordered pair in the first equating we get :
2 = 3×5 - 13 = 15 - 13 = 2
that fits.
but when using them in the second equation we get :
4×5 - 3×2 = 17
20 - 6 = 17
14 = 17
and that is wrong.
that means the point (5, 2) is not on the second line, so the point cannot be the crossing point (= solution, where both equations deliver the same result) of both lines.
FYI
we would solve the system by using the first equality directly in the second equation :
4x - 3(3x - 13) = 17
4x - 9x + 39 = 17
-5x = - 22
5x = 22
x = 22/5 = 4.4
and y is then
y = 3×4.4 - 13 = 13.2 - 13 = 0.2
the actual solution of the system is therefore
(4.4, 0.2)
