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3 years ago

3n-5=-48-40n. Please help . I need the steps to solve and the answer

Mathematics

2 answers:

Luba_88 [7]3 years ago

8 0

Answer:

n = -1

Step-by-step explanation:

First subtract the 3n from both sides, creating the equation, -5 = -48 -43n. Then add 48 to both sides creating, 43 = -43n, then divide both sides by -43 and n = -1.

liraira [26]3 years ago

5 0

3n-5=-48-40n

Move -40n to the other side. Sign changes from -40n to +40n.

3n+40n-5=-48= -48-40n+40n

3n+40n-5=-48

Move -5 to the other side.

3n+40n-5+5=-48+5

3n+40n=-43

43n=-43

Divide by 43 for both sides

43n/43=-43/43

n=-1

Answer: n=-1

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Help quick

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1.You have two ways for solving this.
First, you could use a graphing utility or calculator to graph both functions on the same plane, and given that the functions do not have a $y$ coordinate, the solution of $f(x)=g(x)$ will be the $x$ coordinate in which the tow graphs intercept (cross each other) as you can see in the picture (1).
The other way is equating the two equations and solve for x:
We know that $f(x)=2x+1$ and $g(x)=-x+7$ , so $f(x)=g(x)$ is equivalent to $2x+1=-x+7$ . The only thing left is solving the equation for x:
$2x+1=-x+7$
$3x=6$
$x=2$
As you can see, both ways gives us the same answer: the solution to the equation $f(x)=g(x)$ is $x=2$ .

2. For this one we can repeat the exact same procedures as before:
Graph the functions on the same plane using a graph calculator or graphing utility, and identify the $x$ coordinate in which the two graphs intercept as you can see in the picture (2), or you we can also equate both equations, and solve for $x$ :
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$x=1$
And just like before, both ways gives us the same answer: the solution to the equation $f(x)=g(x)$ is $x=1$

So, the answer that you should enter in your boxes are: 2 in the first, and 1 in the second one.

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