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TEA [102]
2 years ago
8

Solve for x. -5(3x + 6) = -3(4x - 2) You must show your work.

Mathematics
2 answers:
crimeas [40]2 years ago
8 0

Answer:

-5(3x + 6) = -3(4x - 2)

Distribute -5 through the parenthesis

-15x - 30 = -3(4x - 2)

distribute -3 through the other parenthesis

-15x - 30 = -3( -12x + 6 )

move the variable the left hand side, change sign

-15x + 12 - 30 = 6

move constant to the right hand side

-15x + 12 = 6 + 30

collect like terms

-3x = 6 + 30

add the numbers

-3x = 36

divide both sides by -3

-3/-3 = 36/-3

x = -12

AfilCa [17]2 years ago
7 0

Answer:

-5(3x + 6) = -3(4x - 2)

-15x-30=-12x+6

-30-6=-12x+15x

3x=-36

x=-36/3=-12

You might be interested in
The term –18xy and which other term are like terms?
alexgriva [62]
So,

We know that we cannot add or subtract quantities of the same kind.

-18xy can only be added/subtracted to 4yx, which is the same as 4xy.  The result would be -14xy, or -14yx.

The correct option is B.
6 0
3 years ago
Solve the following system of equations using a method of your choice.
dusya [7]

Answer:

Step-by-step explanation:

cant remember what this method is called but

change the second equation to be y = something

x + y = 10

y = -x + 10

plug in this y= in the first equation to get x

4x -2(-x + 10) = 4

4x + 2x -20 = 4

6x = 24

x = 4

then plug in the x we found into the original second equation

4 + y = 10

y = 6

so your ordered pair would be (4,6)

hope this helps <3

8 0
2 years ago
PLZZZZZZZZZZZZZZZZZZZZZZZ HELP ME
slava [35]

Answer:

the answer is 2119

Step-by-step explanation:

1+1=1

3 0
3 years ago
Punctele O, A, B, C sunt coliniare în această ordine, iar segmentele OA, AB și BC au lungimile exprimate în cm, prin numere natu
julia-pushkina [17]

Răspuns:

a) OC = 18cm

b) MN = 6cm

Explicație pas cu pas:

Găsiți diagrama la întrebarea atașată.

a) Din diagramă se poate observa că OC = OA + AB + AC

OC = 2n + 2n + 2 + 2n + 4

OC = 6n + 6

Următorul este să obțineți valoarea lui n:

OM = OA + AM

Să obținem segmentul AM;

Deoarece M este segmentul mijlociu al AC, atunci;

AM = AC / 2

AM = AB + BC / 2

AM = 2n + 2 + 2n + 4/2

AM = 4n + 6/2

AM = 2n + 3

Din moment ce OM = OA + AM

OM = 2n + 2n + 3

OM = 4n + 3

Dat fiind OM = 11

11 = 4n + 3

4n = 11-3

4n = 8

n = 2

Următorul pas este să calculați OC;

OC = 6n + 6

OC = 6 (2) + 6

OC = 18

Prin urmare, lungimea segmentului OC este de 18 cm

b) Această întrebare ne cere să găsim segmentul de linie MN.

Din diagramă, MN = AM - AN

Deoarece AM = 2n + 3 din întrebarea 1;

AM = 2 (2) +3

AM = 4 + 3

AM = 7

Acum, să obținem AN:

Din diagramă, AN = ON-OA și ON = OB / 2

AN = OB / 2 - OA

AN = (2n + 2n + 2) / 2 - 2n

AN = 4n + 2/2 - 2n

AN = 2n + 1 - 2n

AN = 2n-2n + 1

AN = 1

De la MN = AM - AN

MN = 7 - 1

MN = 6cm

Prin urmare, distanța dintre N, mijlocul segmentului OB și punctul M este de 6cm

6 0
3 years ago
Figure A is a scale image of Figure B. What is the value of x?
rewona [7]

Answer:

x=30

Step-by-step explanation:

to find the value of x you have to find K(constant number).

\frac{x}{45}=\frac{18}{27}\\\frac{x}{45}=\frac{2}{3}\\  3(x)=45*2\\3x=90\\x=\frac{90}{3}\\ x=30

8 0
3 years ago
Read 2 more answers
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