Mathematics, 09.02.2022 14:00, kylee65

I'm stuck on these questions (these aren't even all of them)...

Answers: 3

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answered: alexjedington

(1) $x=-14\frac{7}{9}$

(2) x=72

(3) x=11

(4) $x=-1\frac{7}{11}$

(5) x=-36

(6) x=-61

(7) x=-12

(8) $x=1\frac{4}{5}$

(9) x=9

(10) x=18

Step-by-step explanation:

One thing that will be very useful in solving these problems is the distributive property, that states a(b-c)=ab-ac .

(1) Use the distributive property to open the parentheses, getting:

5x-14x+154=287

Then, combine like terms and isolate on one side to get:

-9x=133

Divide both sides by -9 to get:

$x=-14\frac{7}{9}$

(2) Combine like terms and isolate on one side to get:

-8x=-576

Divide both sides by -8 to get:

x=72

(3) Use the distributive property to open the parentheses, getting:

7x+14x-56=175

Combine like terms and isolate on one side to get:

21x=231

Divide both sides by 21 to get:

x=11

(4) Use the distributive property to open the parentheses, getting:

123=4x-15x+105

Combine like terms and isolate on one side to get:

-11x=18

Divide both sides by -11 to get:

$x=-1\frac{7}{11}$

(5) Combine like terms and isolate on one side to get:

-4x=144

Divide both sides by -4 to get:

x=-36

(6) Combine like terms and isolate on one side to get:

-8x=488

Divide both sides by -8 to get:

x=-61

(7) Use the distributive property to open the parentheses, getting:

240=2x-12x+120

Combine like terms and isolate on one side to get:

-10x=120

Divide both sides by -10 to get:

x=-12

(8) Use the distributive property to open the parentheses, getting:

9=6x+9x-18

Combine like terms and isolate on one side to get:

15x=27

Divide both sides by 15 to get:

$x=1\frac{4}{5}$

(9) Simplify the left side of the equation to get:

x-3=6

Add 3 to both sides to arrive at:

x=9

(10) Use the distributive property to open the parentheses, getting:

64=4x+2x-44

Combine like terms and isolate on one side to get:

6x=108

Divide both sides by 6 to get:

x=18

Hope this helps :)

P.S. These problems took 1 hour for me to solve and type the solutions. Please give Brainliest if this answer helped you :)

answered: Guest

infinitely many solutions

step-by-step explanation:

we have been given the equation;

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

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

answered: Guest

If there are four friends then each would get, 1.25 or 1 1/4. so this is how i solved 5 ÷ 4 = 1.25 . hope this ; )

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