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Fed [463]
3 years ago
10

How to solve using substitution y=3/4X+5 4x-3y=-1

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
5 0
Please, use parentheses to enclose each fraction:
y=3/4X+5 should be written as <span>y=(3/4)X+5

Let's eliminate the fraction 3/4 by multiplying the above equation through by 4:

4[y] = 4[(3/4)x + 5]
Then 4y = 3x + 20
(no fraction here)

Let 's now solve the system   

4y=3x + 20
4x-3y=-1

We are to solve this system using subtraction.  To accomplish this, multiply the first equation by 3 and the second equation by 4.  Here's what happens:

12y = 9x + 60  (first equation)
16x-12y = -4, or -12y = -4 - 16x (second equation)

Then we have 

 12y = 9x + 60
-12y =-16x - 4

If we add here, 12y-12y becomes zero and we then have 0 = -7x + 56.
Solving this for x:  7x = 56; x=8

We were given equations   
</span><span>y=3/4X+5
4x-3y=-1

We can subst. x=8 into either of these eqn's to find y.  Let's try the first one:

y = (3/4)(8)+5 = 6+5=11

Then x=8 and y=11.

You should check this result.  Subst. x=8 and y=11 into the second given equation.  Is this equation now true?</span>
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aksik [14]

Answer:

g(x) = (3x-4)

Step-by-step explanation:

F(x) =  sqrt( 3x-4)

We are taking the square root of (3x-4)

so g(x) = (3x-4)

4 0
2 years ago
Myra likes blueberry yogurt, but cherry yogurt is her favorite. Yesterday, she bought 3 cartons of cherry yogurt for every 2 car
cupoosta [38]

Answer:

9 cherry, 6 blueberry

Step-by-step explanation:

lets do a table!

cherry | blueberry

----------------------------

   3             2

   6             4

   9             6

When there are 2 blueberry, there are 3 cherry. 3 is 1 more than 2. When there are 4 blueberry, there are 6 cherry. 6 is 2 more than 4. When there are 6 blueberry, there aare 9 cherry. 9 is 3 more than 6.

7 0
2 years ago
Two angels of a triangle measure 65 and 75. Which is not the measure of an exterior angle of the triangle
Andre45 [30]
An exterior angle is the sum of the two other interior angles 

<span>the three interior angles are 55 and 65 and 180-(55+65)=60 </span>

<span>so 60 + 55 = 115 </span>
<span>60 + 65 = 125 </span>
<span>65 + 55 = 120 
</span>
brainlest answer.
3 0
3 years ago
Write the explicit formula for the geometric sequence.
My name is Ann [436]

Answer:

D

Step-by-step explanation:

the n th term ( explicit formula ) of a geometric sequence is

• a_{n} = a_{1}(r)^{n-1}

where r is the common ratio and a_{1} the first term

here r = \frac{8}{16} = \frac{16}{32} = \frac{1}{2} and a_{1} = 64, hence

a_{n} = 64(0.5)^{n-1} → D



8 0
3 years ago
Solve the rational equation 1/n-4 - 2/n = 3/4-n
Leokris [45]

Answer:

n=4

Step-by-step explanation:

Given equation: \[\frac{1}{n-4}-\frac{2}{n}=\frac{3}{4-n}\]

Simplifying the Left Hand Side of the equation by taking the LCM of the denominator terms:

\[\frac{n}{n*(n-4)}-\frac{2*(n-4)}{n*(n-4)}=\frac{3}{4-n}\]

=> \[\frac{n - 2*(n-4)}{n*(n-4)}=\frac{3}{4-n}\]

=> \[\frac{n - 2n + 8}{n*(n-4)}=\frac{3}{4-n}\]

=> \[\frac{8 - n}{n*(n-4)}=\frac{3}{4-n}\]

=> \[(8-n)*(4-n) =n*(n-4)*3\]

=> \[n-8 =3n\]

=> \[2n =8\]

=> n = 4

5 0
3 years ago
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