Let the numbers be a and b and b>a
2a=3b and 3(b-a)=2(b-a)+13
Solving the first for a:
2a=3b
a=3b/2, now using this value of a in the second equation gives you:
3(b-3b/2)=2(b-3b/2)+13 upon performing indicated operations.
3b-9b/2=2b-6b/2+13 making all terms have a common denominator of 2
(6b-9b)/2=(4b-6b+26)/2 multiplying the whole equation by 2
6b-9b=4b-6b+26 combining like terms
-3b=-2b+26 adding 2b to both sides
-b=26 dividing both sides by -1
b=-26, since a=3b/2
a=3(-26)/2
a=-39
So the numbers are -39 and -26
check...
2a=3b becomes:
2(-39)=3(-26)
-78=-78
3(b-a)=2(b-a)+13 becomes:
3(-26--39)=2(-26--39)+13
3(13)=2(13)+13
39=26+13
39=39
correct :P
Answer:
8, 10, 5
Step-by-step explanation:
7+8=15, 7+10=17, 7+5=12. You’re basically substituting the numbers in for n and seeing if its greater than or equal to 12.
Answer:they are supplementary ,adjacent and linear
Step-by-step explanation:supplementary because the sum of the 2 anglez is 180. Adjacent because they habe a common vertex. Linear beacause they are adjacent and sum is 180
Answer:
Slope Intercept is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.
Step-by-step explanation:
Answer: To find the volume, you multiply length times width times height:
6*8*8 = 384 cubic inches
Hope this helps!