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Sveta_85 [38]
3 years ago
15

How do I use elimination process when solving two variable equations?

Mathematics
1 answer:
kenny6666 [7]3 years ago
7 0
Solve simultaneously:

<span>15x-8y=52 and
6x+14y=38
</span>
Let's solve this system thru elimination by addition/subtraction:

Let's get rid of the x terms.
To do this, mult. the first eqn. by -6 and the second by 15.  (This is not the only way in which we can do this!!)  We get  

-90x + 48y = -312
90x   +210y = 570
--------------------------
Add all 3 columns together.  We end up with:

258y = 258, so y = 1.  You can find x by subst. 1 for y in either of the given equations.

If you'd like more help, please be specific about what you want.


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In the given figure p=120° and y : z=2 : 3 Find x, y and z​
Sindrei [870]

Answer:

x = 60°

y = 72°

z = 48°

Step-by-step explanation:

x = 180 - p = 180 - 120 = 60

Since y;z = 3:2 ,   2y = 3z  or z = 2y/3

Now, x + y + z = 180

60 + y + 2y/3 = 180     Multiply thru by 3 to remove the fraction

180 + 3y + 2y = 540

180 + 5y = 540

5y = 360

y = 72

z = 2(72)/3 = 48

Check:  60 + 72 + 48 = 180

5 0
3 years ago
use the substitution method to solve the system of equations. Choose the correct ordered pair. y=4x 8x+y=18
tino4ka555 [31]

Answer:

(3/2, 6)

Step-by-step explanation:

y = 4x

8x + y = 18

this says y is 4x so you can replace y with 4x

8x + 4x = 18

12x = 18

/12      /12

  x  = 3/2


now sub x into y = 4(3/2)

y = 12/2

y = 6

8 0
3 years ago
Read 2 more answers
14. Set A contains all integers from 50 to 100, inclusive, and Set B contains all integers from 69 to 138, exclusive. How many i
tamaranim1 [39]

Answer:

30

Step-by-step explanation:

We have to make the intersection between these sets, and we see that they intersect in the range: [70,100], and d(70,100) = 30, that is the answer.

5 0
2 years ago
A box can had a maximum of 60 comic books.If comic books are bundled together in groups of 8, write and solve an inequality to f
Reika [66]

Answer: the maximum number of bundles of comic books that the box can carry is 7

Step-by-step explanation:

Let x represent the maximum number of bundles of comic books that the box can carry.

If comic books are bundled together in groups of 8, then the total number of comic books in x bundles of comic books would be 8x.

A box can hold a maximum of 60 comic books. Therefore, the inequality to find the maximum number of bundles of comic books that the box can carry is

8x ≤ 60

x ≤ 60/8

x ≤ 7.5

8 0
3 years ago
An instructor of a large college class gave an exam that has a possible total of 100 points. The instructor records the scores o
pishuonlain [190]

Answer:

(a) the median grade lies between 76 and 84

(b) the Median grade is greater than the mean grade.

(d) the median grade is a B

Step-by-step explanation:

consider the histogram carefully and answer.

4 0
3 years ago
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