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valkas [14]
3 years ago
6

A variable needs to be eliminated to solve the system of equation below. Choose the correct first step.

Mathematics
1 answer:
prohojiy [21]3 years ago
4 0

Answer:

3

−

9

=

−

3

9

3

−

6

=

-21

Step-by-step explanation:

3x​−9y=−39, 3x−6y=−21 : x=5, y=6

Steps

[ ​3x−9y=−39 3x−6y=−21 ]

Show Steps

Isolate x for 3x−9y=−39: x=−13+3y

Substitute x=−13+3y

[ 3(−13+3y)−6y=−21 ]

Show Steps

Simplify

[ −39+3y=−21 ]

Show Steps

Isolate y for −39+3y=−21: y=6

For x=−13+3y

Substitute y=6

x=−13+3· 6

Simplify

x=5

The solutions to the system of equations are:

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Help please with these:
levacccp [35]

Answer:

2

Step-by-step explanation:

18/32 = 1/2


8 0
3 years ago
A right triangle has a perimeter of 24 cm and a hypotenuse of 10 cm. Find the length of the other two sides.
jekas [21]

Answer:

One of the sides is 6 cm and the other is 8 cm

Step-by-step explanation:

Let's call the unknown sides a and b. From the perimeter information (24 cm) we have:

a + b + hypotenuse = 24

a + b + 10 = 24

a + b = 14

b = 14 - a

So now we can right the Pythagorean theorem as follows:

a^2 + b^2 = hypotenuse^2\\a^2 + (14-a)^2=10^2\\a^2+ 14^2-28\,a+a^2=100\\2\,a^2-28\,a +96=0\\2\,(a^2-14\,a+48)=0\\2\,(a^2-6\,a-8\,a+48)=0\\2(a\,(a-6)-8\,(a-6))=0\\2\,(a-6)\,(a-8)=0

and from this expression in factor form to be zero a must be 6 or a must be 8.

Therefore the solutions are a = 6 (and therefore b = 14 - 6 = 8)

or a = 8 (and therefore b = 14 - 8 = 6)

7 0
3 years ago
Read 2 more answers
SIMPLIFY<br> 7x to the power of 2 + 6x + 9x to the power of 2 - 5x
Marizza181 [45]
7x^2+6x+9x^2-5x=(7x^2+9x^2)+(6x-5x)=16x^2+x
4 0
3 years ago
Tim is making a fence in the shape of a triangle for his livestock. He wants one side of the triangle to be two times as along a
Ugo [173]

Answer:


Step-by-step explanation:

42 < 21+3x < 84

21 < 3x < 63

7 < x < 21

7 0
3 years ago
After you prove that two triangles are congruent, what would CPCTC be useful for?
Lapatulllka [165]
Is useful<span> in </span>proving<span>various theorems about </span>triangles<span> and other polygons.

</span>
6 0
3 years ago
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