X + 4 = 4x + 1 <=>
4 = 3x + 1 <=>
3 = 3x <=>
1 = x ;
Then, x = 1 and y = 5.
Answer:
The relationship is Y=2.5X
Step-by-step explanation:
From the sentence
X= 2 and Y= 5
Hence (X/Y) = 2/5
Hence Y= 5X/2 = 2.5X
<h3>
Answer: a = -1 (fourth choice)</h3>
==========================================
Work Shown:
q = (-4, 1) is one vector
r = (a,3) is another vector
The resultant vector is
q+r = (-4,1)+(a,3)
q+r = (-4+a,1+3)
q+r = (-4+a,4)
Multiply both sides by 7
7(q+r) = 7*(-4+a,4)
7(q+r) = (7*(-4+a),7*4)
7(q+r) = (-28+7a, 28)
---------------
Since 7(q+r) = (-35, 28), we know that,
(-28+7a, 28) = (-35, 28)
which leads to
-28 + 7a = -35
when we equate the x components of each vector. Let's solve for 'a'
-28 + 7a = -35
7a = -35+28
7a = -7
a = -7/7
a = -1
--------------
Check:
q = (-4,1)
r = (a,3) = (-1,3)
q+r = (-4,1)+(-1,3)
q+r = (-4+(-1), 1+3)
q+r = (-5, 4)
7*(q+r) = 7*(-5, 4)
7*(q+r) = (7*(-5), 7*4)
7*(q+r) = (-35, 28)
The answer is confirmed.
I wish I had an answer for you! Unfortunately, this one has stumped even professional mathematicians for over a century. It was first presented by mathematician Edmund Landau in 1912, and it’s gone unproven ever since. I can’t give you a solution, but I can definitely say you should submit your findings to a mathematical journal if you ever find one!
X + (-2) = 4...
do the inverse +2 on both sides 4+2 equals 6. X= 6