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2 years ago

What is the first step you would take to solve the equation ?

1 answer:

5 0

Like terms are those terms that are having the same variables, also the variables are of the same order as well. The first step to solving an equation is to rearrange the like terms.

<h3>What are Like terms?</h3>

Like terms are those terms that are having the same variables, also the variables are of the same order as well.

for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.

To solve an equation the first step is to rearrange the equation such that like terms are together.

Hence, the first step to solving an equation is to rearrange the like terms.

Learn more about Like Terms:

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How do i solve x^2+7x=3x

valina [46]

To solve, you must make one side of the equation equal to zero. We can do this by subtracting 3x on both sides of the equation.

x^2 + 7x = 3x
 - 3x -3x

x^2 + 4x = 0.

Then we substitute the equation into the quadratic equation.

$\frac{-b+- \sqrt{b^2-4ac} }{2a}$

Where a = 1 b = 4 and c = 0

$\frac{-(4)+- \sqrt{(4)^2-4(1)(0)} }{2(1)}$

We first solve whats inside the square root.

$\frac{-(4)+- \sqrt{16} }{2(1)}$

$\sqrt{16} = 4$

Now we solve for -4 and 4.

$-4 - 4 = -8$
$-4+4=0$

Then divide both answer by 2

$\frac{-8}{2} = -4$
The division of any by zero is zero

So the answer are x = -4 and x = 0

7 0

4 years ago

Read 2 more answers

Use the above graph to answer the following:

igor_vitrenko [27]

Slope of the line is -4/5, y-intercept is 3, equation in slope-intercept form is y = -4/5 x + 3 and the x-intercept is 15/4

Step-by-step explanation:

Step 1: Find slope, m.

Slope = (y2 - y1)/(x2 - x1)

Here, x1 = 0, y1 = 3, x2 = 5, y2 = -1 (based on the plotted points)

⇒ m = (-1 - 3)/(5 - 0) = -4/5

Step 2: Find the y-intercept

y-intercept is the point where the line intersects the y-axis.

Here, the y-intercept, b = 3

Step 3: Write the equation of the line in slope-intercept form

y = mx + b ⇒ y = -4/5 x + 3

Step 4: Find the x-intercept using the equation.

x-intercept is the point where the line intersects the x-axis. Then y = 0

⇒ 0 = -4/5 × x + 3

⇒ -4/5 × x = -3

⇒4x = 15

∴ x = 15/4

6 0

4 years ago

What is the cosine for F? A. 13/12 B. 13/5 C. 12/13 D. 5/13

GalinKa [24]

The cosine for F is A

5 0

3 years ago

Read 2 more answers

Which is the ratio of the number of months that begin with the letter J to the total number of months in a year? (2 points) 12 t

jeka57 [31]

Answer:

3-12

Step-by-step explanation:

January

June

July

That is 3 months out of 12 so...3 to 12

8 0

4 years ago

Write an expression that represents the area of only the red shaded region in terms of x

julsineya [31]

Answer:

(9 × 3x+7) - (5 × x+2)

Step-by-step explanation:

Red area

9 × 3x + 7

white area

5 × x+2

7 0

3 years ago