Solving for v and combining like terms:
10 + v - 17v = 4
- v - v
10 - 16v = 4
-10 -10
-16v = -6
/-16 /-16
<u><em>v = 0.375 or 3/8
</em></u>Hope this helps!
Answer:
any figure or more info given??
Step-by-step explanation:
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The larger of two numbers exceeds twice the smaller by one. The system of equations are y = 2x + 1 and y + 6 = 3x. So option 2 is correct
<u>Solution:</u>
Given, y is the larger number and x be the smaller number.
We have to find which of the given systems of equations represents the word problem?
Now, the larger of two numbers exceeds twice the smaller by one.
Then, y – (2 × x) = 1 ⇒ y – 2x = 1 ⇒ y = 2x + 1
And, three times the smaller exceeds the larger by six
Then, 3 × x – y = 6 ⇒ 3x – y = 6 ⇒ y + 6 = 3x
Hence, the system of equations are y = 2x + 1 and y + 6 = 3x. so option 2 is correct.
<h3>
Answer: The solution of the system of equations is (1,7).</h3>
Step-by-step explanation: Given system of equations
y = 5x + 2 and
3x = –y + 10.
Substituting y= 5x+2 in second equation, we get
3x = -(5x+2) +10.
Distributing minus sign in (5x+2), we get
3x= -5x-2+10.
3x = -5x + 8.
Adding 5x on both sides, we get
3x+5x = -5x+5x +8
8x = 8.
Dividing both sides by 8, we get
8x/8 = 8/8
x = 1.
Plugging x=1 in first equation, we get
y = 5(1) +2
y = 5+2=7.
<h3>Therefore, the solution of the system of equations is (1,7).</h3>
