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mel-nik [20]
3 years ago
15

Helpp whats the answer 5x=15

Mathematics
1 answer:
marissa [1.9K]3 years ago
6 0

Answer:

\boxed{\tt x=3}

Step-by-step explanation:

We are given the equation:

5x=15

and asked to solve for x. Therefore, we must isolate the variable on one side of the equation.

x is being multiplied by 5. The inverse of multiplication is division. Divide both sides of the equation by 5.

\frac{5x}{5}=\frac{15}{5}

x=\frac{15}{5}

x=3

Let's check our solution. Plug 3 in for x and solve.

5x=15

5(3)=15                      

15=15

This checks out, so we know our solution is correct.

The solution to 5x=15 is x=3.

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Here are a couple I found:

<u>Similarities</u>:

  • They have the same y-intercept of (0,5).
  • They are both in slope-intercept form.

<u>Differences</u>:

  • The line of y = -13x + 5 "falls" from left to right. The line of y = 2x + 5 "rises" from left to right.
  • They have different x-intercepts. (y = 2x + 5 intersects (-\frac{5}{2}, 0) while y = -13x + 5 intersects at (\frac{5}{13}, 0)

<u></u>

<u>Explanation</u>:

Slope-intercept form is y = mx + b, and by looking at the equations, they both already fit that format, with m as their slope and b as their y-intercept. Also, since they both have a 5 as that "b," their y-intercepts are the same: (0,5).

As for differences, we can see that the coefficient in place of that "m" is positive in y = <u>2x</u> + 5 and negative in y = <u>-13x</u> + 5. Therefore, one line would rise due to their slope being positive and one would fall due to their slope being negative. They also have two different x-intercepts, which we can calculate by substituting 0 in place of the y, then isolating x.

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