If four times a first number is decreased by three times the second number, the result is zero. The sum of the numbers is -7. Find the numbers?

Answer 1

#-3, and, -4.#

By what is given,

#4N_1-3N_2=0...(1), and, N_1+N_2=-7...(2).#
#(2) rArr 3(N_1+N_2)=-21, i.e., 3N_1+3N_2=-21...(2').#
#(1)+(2') rArr 4N_1+3N_1=0+(-21),#
# rArr 7N_1=-21 rArr N_1=-21/7=-3," &, by (2), then, "N_2=-4.#
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Answer 2

#-3# and #-4#

Let's say the first number is #x# and the second number is #y#
So, first we're told that #4*x-3*y=0# and then, that #x+y=-7#

Let's use substitiution!

Our first job is to set #x+y=-7# to #x#: #x+y=-7# subtract #y# on both sides #x=-7-y#
Now, substitute #x# for #(-7-y)# in the firstequation: #4x-3y=0# #4(-7-y)-3y=0# distribute the #4# #-28-4y-3y=0# add #28# on both sides #-4y-3y=28# combine like-terms #-7y=28#. divide by #-7# on both sides #y=-4#
Now that we know #y=-4#, we can solve for #x#: #x+y=-7# #x+(-4)=-7# add #4# on both sides #x=-3#
Just to double-check our work, let's solve the first equation using #-3# and #-4# as #x#and #y# #4x-3y=0#
If our answers are correct, we should find our solution to be #0#! #4(-3)-3(-4)# #-7--7# #-7+7# #0=0# We were right!
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Answer 3

Let the first number be ( x ) and the second number be ( y ).

Given that four times the first number is decreased by three times the second number equals zero:

[ 4x - 3y = 0 ]

Also, the sum of the numbers is -7:

[ x + y = -7 ]

Now, solve the system of equations to find the values of ( x ) and ( y ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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