1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dybincka [34]
3 years ago
6

Solve for x. 6(x - 1) = 9(x + 2) x = -8 X = -3 X = 3 x = 8

Mathematics
2 answers:
scoray [572]3 years ago
8 0

Answer:

x=-8

Step-by-step explanation:

6(x-1)= 9(x+2)

6x-6= 9x+18

6x-9x= 18+6

-3x= 24

-3x÷-3= 24÷-3

x=-8

Wewaii [24]3 years ago
4 0

Answer:

x=-8

Step-by-step explanation:

6\left(x-1\right)=9\left(x+2\right)\\\mathrm{Expand\:}6\left(x-1\right):\quad 6x-6\\6\left(x-1\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\a=6,\:b=x,\:c=1\\=6x-6\cdot \:1\\\mathrm{Expand\:}9\left(x+2\right):\quad 9x+18\\9\left(x+2\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=9,\:b=x,\:c=2\\=9x+9\cdot \:2\\\mathrm{Multiply\:the\:numbers:}\:9\cdot \:2=18\\=9x+18\\6x-6=9x+18\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}

6x-6+6=9x+18+6\\Simplify\\6x=9x+24\\\mathrm{Subtract\:}9x\mathrm{\:from\:both\:sides}\\6x-9x=9x+24-9x\\Simplify\\-3x=24\\\mathrm{Divide\:both\:sides\:by\:}-3\\\frac{-3x}{-3}=\frac{24}{-3}\\Simplify\\\frac{-3x}{-3}=\frac{24}{-3}\\\mathrm{Simplify\:}\frac{-3x}{-3}:\quad x\\\frac{-3x}{-3}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{3x}{3}\\\mathrm{Divide\:the\:numbers:}\:\frac{3}{3}=1\\=x\\\mathrm{Simplify\:}\frac{24}{-3}:\quad -8\\\frac{24}{-3}

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\\=-\frac{24}{3}\\\mathrm{Divide\:the\:numbers:}\:\frac{24}{3}=8\\=-8\\

You might be interested in
A, B, and C are collinear, and B is between A and C. The ratio of AB to BC is 1:4.
schepotkina [342]

Let point C has coordinates (x_C,y_C). Consider vectors

\overrightarrow{AB}=(x_B-x_A,y_B-y_A)=(8-9,6-9)=(-1,-3),\\ \\\overrightarrow{BC}=(x_C-x_B,y_C-y_B)=(x_C-8,y_C-6).

Since the ratio AB to BC is 1:4, you have that

\dfrac{-1}{x_C-8}=\dfrac{1}{4}\quad \text{and}\quad \dfrac{-3}{y_C-6}=\dfrac{1}{4}.

Find x_C and y_C:

x_C-8=-4,\\ \\x_C=-4+8=4,\\ \\y_C-6=-3\cdot 4=-12,\\ \\y_C=-12+6=-6.

Answer: C(4,-6)

7 0
3 years ago
Read 2 more answers
What is the equation of a line in slope intercept form, given that the slope of the line is 1 and a point on
choli [55]

Answer:

y= -x +2

Step-by-step explanation:

y-y1 = m(x-x1)

y - 0 = 1(x - (-2))

y = -x + 2)

y = x + 2.

4 0
2 years ago
Help me please thank you
vfiekz [6]

First one reflection

Second rotation

Third ?

Fourth translation

3 0
3 years ago
Read 2 more answers
Who wants pointssssss
Sergio [31]

Answer:

MEEEE ME ME ME ME ME ME ME ME MEEEE

5 0
3 years ago
Read 2 more answers
BRAINIEST IF ANSWERED CORRECTLY
adoni [48]

An example of something that doesn't have a solution is something like x+2 = x+3

If we subtract x from both sides, then we end up with 2 = 3, which is always false.

No matter what we plug in for x, the original equation will always be false. The right hand side is always 1 larger than the left side. So that's why we don't have any solutions here.

Side note: equations of this form are known as contradictions (or we could say the equation is inconsistent).

=====================================================

An example of something that has one solution is 3x+2 = 2x+7

Solving this equation leads us to...

3x+2 = 2x+7

3x-2x = 7-2

1x = 5

x = 5

To verify the solution, we plug it back into the original equation

3x+2 = 2x+7

3(5)+2 = 2(5)+7

15+2 = 10+7

17 = 17

We get the same thing on both sides, so we get a true statement. This confirms that x = 5 is the solution to 3x+2 = 2x+7.

=====================================================

An example of an equation with infinitely many solutions is 2x+4 = 2(x+2)

Notice how both sides are the same thing. The 2(x+2) distributes out to get 2x+4

Since we have the exact same identical expression on both sides, this ultimately means no matter what we plug in for x, we'll get a true statement. True statements (like the conclusion at the last section) are simply anything with the same number on both sides after simplifying everything.

Side note: equations of this form are known as identities

5 0
3 years ago
Other questions:
  • Nancy walked 50 minutes each dayfor 4 days last week. Gillian walked 35 minutes each day for 6 days last week. How does the tota
    5·2 answers
  • Item 4 Evaluate. 6^2+(3⋅4)− 2^4
    12·2 answers
  • The coordinates of a triangle are given as A(3, 2), B(-4, 1), C(-3, -2). What are the coordinates of the image after the triangl
    7·2 answers
  • ANSWER FAST PLEASE I AM VERY CONFUSED!!!!!
    10·1 answer
  • The midpoint of a line segment partitions the line segment into a ratio of
    11·2 answers
  • How do you do this? This is trig mixed sides​
    13·1 answer
  • This for accounting. Please help
    13·2 answers
  • Helpppppppppppppppppp
    10·2 answers
  • Find the distance between the two points rounding to the nearest tenth (if necessary).
    11·1 answer
  • What’s the answer to number 5 and number 6
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!