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2 years ago

Can someone explain how to solve please

Mathematics

2 answers:

jasenka [17]2 years ago

7 0

Answer:

a. x = -10

Step-by-step explanation:

You can do this by subtracting the left side from both sides. Then simplify.

(1.6x +4) -(1.6x +4) = (3x +6 -1.2x) -(1.6x +4)

0 = x(3 -1.2 -1.6) +(6 -4) . . . . . . group like terms

0 = 0.2x +2 . . . . . . . . . . . . . . . simplify

Now, you want x with a coefficient of 1. You can get this by multiplying by the inverse of the coefficient of x.

0 = x + 10 . . . . . . . . . . . . . . . . . multiply by 5 (equivalently, divide by 0.2)

-10 = x . . . . . . . . subtract the constant

_____

The goal when solving an equation like this is to get all of the terms containing the variable on one side of the equal sign, and all other terms on the other side. The method shown above is one way to do that: it puts everything on one side of the equal sign (and 0 on the other side), then divides by the coefficient of the variable. This leaves an equation of the form ...

0 = x + (something)

By subtracting the (something), you find what x is:

-(something) = x

You may see recommended that you separate variable terms and other terms by subtracting all the variable terms from one side. That works, too. Here, that would look like ...

1.6x +4 = 3x +6 -1.2x

4 = 3x +6 -1.2x -1.6x . . . . . . subtract 1.6x from both sides

Collecting terms, we find we still have a mix of variable terms and constant terms on the right:

4 = 0.2x +6

Now, we subtract the constant term on the right to eliminate it:

4 -6 = 0.2x +6 -6

-2 = 0.2x . . . . . . . . . simplify

To get x with a coefficient of 1, we divide by the coefficient of x (or multiply by its inverse).

-2/0.2 = 0.2x/0.2

-10 = x

The one rule you must always obey when manipulating equations is "whatever you do to one side must also be done to the other side of the equation." So, when we say "subtract 1.6x" we mean "subtract 1.6x from both sides of the equation." Likewise for "add 6" or "divide by 0.2."

Karo-lina-s [1.5K]2 years ago

5 0

Answer:

Step-by-step explanation:

you can just plug in the numbers until they come out equal

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natima [27]

Answer:

Step-by-step explanation:

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3 years ago

a metal strip is being installed around a workbench that is 6 feet long and 2 feet wide. find how much stripping is needed

Stolb23 [73]

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3 years ago

Solve for x Please show steps thank you.

const2013 [10]

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2 years ago

SHALL GIVE BRAINLIEST ANSWER!! A 40% solution of fertilizer is to be mixed with an 80% solution of fertilizer in order to get

sdas [7]

Answer:

20 gallons of the 40% solution, 60 gallons of the 80% solution

Step-by-step explanation:

Let x = the gallons of the 40% solution, and y = the gallons of a 80% solution. The first thing we want to do here is to convert each percentage into decimal form - including the 70% solution mixture.

40% = 0.40,

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As you can tell, 0.40 is associated with x gallons, 0.80 is associated with y gallons, and the mixture contains 0.70 $*$ 80 solution, as 0.70 is associated with 80. Therefore we can formulate the following expression,

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At the same time x + y = 80, as the solution ( mixture ) is present with 80 gallons. Isolating x, x = 80 - y. Let us plug that into our expression, solving for y, following by x gallons.

$0.40\left(\:80\:-\:y\:\right)\:+\:0.80y\:=\:0.70\:\cdot \:80$