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Pie
4 years ago
9

78(−32−48x)+36=23(−33x−18)−10x Solve for x.

Mathematics
2 answers:
Nat2105 [25]4 years ago
8 0
I believe the answer is 6 because if you use process of elmination it comes out to be 6 hopfully it helps
Blizzard [7]4 years ago
5 0

Answer:  The required solution is x = -0.69.

Step-by-step explanation:  We are given to solve the following equation for the value of x :

78(-32-48x)+36=23(-33x-18)-10x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To find the value of x, we must bring all the terms involving x on one side of the equality.

The solution of equation (i) is as follows:

78(-32-48x)+36=23(-33x-18)-10x\\\\\Rightarrow -2496-3744x+36=-759x-414-10x\\\\\Rightarrow -3744x-2460=-769x-414\\\\\Rightarrow -3744x+769x=-414+2460\\\\\Rightarrow -2975x=2046\\\\\Rightarrow x=-\dfrac{2046}{2975}\\\\\Rightarrow x=-0.69.

Thus, the required solution is x = -0.69.

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6. Complete the two-column proof.
olya-2409 [2.1K]

Answer:

Given: \frac{x}{6} + 2 = 15                             ......[1]

To prove : x =78

Subtraction property states that you subtract the same number to both sides of an equation.

Subtract 2 from both sides of an equation [1];

\frac{x}{6} + 2 - 2= 15 -2

Simplify:

\frac{x}{6} = 13                                             ......[2]

Multiplication property states that you multiply the same number to both sides of an equation.

Multiply 6 to both sides of an equation [2];

\frac{x}{6} \times 6 = 13 \times 6

Simplify:

x = 78                      proved!

Statement                                           Reason

1.  \frac{x}{6} + 2 = 15                 Given

2.  \frac{x}{6} = 13                 Subtraction property of equality

3. x = 78                              Multiplication property of equality

8 0
3 years ago
Read 2 more answers
If you answer this, i might give you 3 extra points (:
rodikova [14]
Jewelery maker has
24 jade beads
30 teak Beads
So we need to find the highest common factor for both 24 and 30
The factors for both numbers are
24 -1,2,3,4,6,8,12,24
30 - 1,2,3,5,6,10,15,30
The highest common factor for both is 6
The greatest number of necklaces she can make is 6
Number of jade beads - 24/6 = 4 jade beads
Number of teak beads - 30/6 = 5 teak beads
So each necklace will have 4 jade beads and 5 teak beads
7 0
3 years ago
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-1 + 4x=3x +3<br> Solve for x ?
docker41 [41]

Answer:

x = 4

Step-by-step explanation:

1. Regroup terms.

4x  - 1 = 3x + 3

2. Add 1 to both sides.

4x = 3x + 3 + 1

3. Simplify 3x + 3 + 1 to 3x + 4.

4x = 3x + 4

4. Subtrect 3x from both sides.

4x - 3x = 4

5. Simplify 4x - 3x to x.

x = 4

Therefor, the answer is, x = 4.

5 0
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