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Lesechka [4]
2 years ago
11

What is the solution to the equation 5(x + 4) = 5x – 3?

Mathematics
2 answers:
vodka [1.7K]2 years ago
8 0

Answer: C, there is no solution

Step-by-step explanation:

First you want to distribute on the left side of the equation. 5(x+4) = 5x - 3 when distributed becomes 5x + 20 = 5x - 3. Next you want to get rid of the variable on one side, but since its the same, when you subtract 5x from both sides you get 20 = -3, which is not equal, meaning there is no solution.

Alex73 [517]2 years ago
6 0

5(x+4)=5x-3\\5x+20=5x-3\\5x+20-5x+3=0\\0+23=0\\23=0

So the answer is C. There is no solution, because the equation is false

A and B choices both have the answer, the value of x.

D choice only when the equation is true like 2=2.

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How do you solve it?
Elis [28]

At heart we're being asked for a line through two points,


(40^\circ \textrm{ C}, 355 \textrm { m/s}) \quad \textrm{and} \quad (49^\circ \textrm{ C}, 360 \textrm { m/s})


In general the line through (a,b) and (c,d) is


(y-b)(c-a)=(x-a)(d-b)


Check that you understand why both (a,b) and (c,d) are on this line.


Here our indepedent variable, instead of x, is T, temperature. Our dependent variable is v, velocity. Substituting,


(v - 355)(49 - 40) = (T - 40)(360 - 355)


9(v - 355) = 5(T - 40)


v-355 = \frac 5 9 T - \frac{200}{9}


v= \frac 5 9 T - \frac{200}{9} + 355


v= \frac 5 9 T + \frac{2995}{9}


That's our answer; let's check it.


When T=40, v = (5/9)40 + (2995/9) = 355 good


When T=49, v= (5/9)49 + (2995/9) = 360 good




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