5b=5(2,-3)=(10,-15)
a=5b implies:
2m-3n=10
4n-m=-15
Multiplying the second equation by 2:
2m-3n=10
8n-2m=-30
Solving by elimination method:
5n=-20,n=-4
By substituting back n=-4 in equation 1:
2m-3(-4)=10
2m=10-12
2m=-2
m=-1
Therefore, (m,n)=(-1,-4)
Frequently asked questions (FAQs)
What is the volume of a rectangular prism with length = 6 cm, width = 4 cm, and height = 5 cm?
+
Math question: What is the area of a right-angled triangle with sides measuring 8 cm and 6 cm?
+
What is the domain of the trigonometric function f(x) = cos(x) + tan(x)?