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Paul [167]
2 years ago
11

7x-2=5x+14 X=? (step by step needed)

Mathematics
2 answers:
prisoha [69]2 years ago
8 0

Answer:

x = 8

Step-by-step explanation:

Step 1: Subtract 5x from both sides.

  • 7x-2-5x=5x+14-5x
  • 2x-2=14  

Step 2: Add 2 to both sides.

  • 2x-2+2=14+2
  • 2x=16

Step 3: Divide both sides by 2.

  • 2x/2=16/2
  • x=8

Step 4: Check if solution is correct.

  • 7(8)-2=5(8)+14
  • 56-2=40+14
  • 54=54

Therefore, x = 8.

Pie2 years ago
7 0

Answer:

x=8

Step-by-step explanation:

7x-2=5x+14

collect like terms (remember when taking a value across the equality sign name sure the sign of the value changes)

7x-5x=14+2

2x=16

divides both sides by the value of x

x=16/2

x=8

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Write the equation of the line for the following table of values.
Luda [366]

Answer:

We conclude that the equation of the line is:

  • y = 5x + 1

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the data table

x      -3 -5 -7 -9 -11

y      -16 -26 -36 -46 -56

From the table taking two points

  • (-3, -16)
  • (-5, -26)

Determining the slope between (-3, -16) and (-5, -26)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)

m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}

m=5

Thus, the slope of the line is:  m = 5

substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation  to determine the y-intercept b

y = mx+b

-16 = 5(-3) + b

-16 = -15 + b

b = -16+15

b = 1

Thus, the y-intercept b = 1

now substituting m = 5 and b = 1 in the slope-intercept form of the line equation

y = mx+b

y = 5x + 1

Therefore, we conclude that the equation of the line is:

  • y = 5x + 1
5 0
3 years ago
Find the<br>simple interest:<br>Princpd $6000<br>Interest Rate 5%<br>Time: 6 months<br>Start​
sattari [20]

Answer: The interest is: $150.00

The formula we'll use for this is the simple interest formula, or:

Where:

   P is the principal amount, $6000.00.

   r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.

   t is the time involved, 6....month(s) time periods.

   Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into "year" as well.

       Do this by dividing your time, 6- month(s), by 12, since there's 12 months in 1 year.

   So, t is 0.5....year time periods.

To find the simple interest, we multiply 6000 × 0.05 × 0.5 to get that:

The interest is: $150.00

8 0
3 years ago
Speed=60 km/h time= 2 hours 20 minutes, what is the distance?
daser333 [38]

Answer:

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Step-by-step explanation:

d=speed × time

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under the condition of f(x)=x composite function is an identity one

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