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zvonat [6]
3 years ago
11

What is the solution to the linear equation?

Mathematics
2 answers:
4vir4ik [10]3 years ago
8 0
First, you want to make all your fractions have a common denominator. Your common denominator would be 6, so multiplying each /3 fraction by 2 and each /2 fraction by 3, you get 4/6x-3/6=2/6+5/6x. You can now combine your fractions getting (4x-3)/6=(2+5x)/6. Now, reduce out the fractions to get 4x-3=2+5x, subtract 4x from both sides, -3=2+x, subtract 2 from both sides, x=-5, or answer choice A.
solniwko [45]3 years ago
6 0

Answer:

A) -5

Step-by-step explanation:

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How many liters each of a 35% acid solution and a 80% acid solution must be used to produce 60 liters of a 65% acid solution? (R
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Solving a system of equations we will see that we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

<h3>How many liters of each solution do we need to use?</h3>

First, we need to define the variables:

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We know that we want to produce 60 liters of 65% acid, then we have the system of equations:

x + y = 60

x*0.35 + y*0.80 = 60*0.65

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To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:

x = 60 - y

Replacing that in the other equation:

(60 - y)*0.35 + y*0.80 = 60*0.65

y*(0.80 - 0.35) = 60*(0.65 - 0.35)

y*0.45 = 60*0.30

y = 60*0.30/0.45 = 40

So we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

If you want to learn more about systems of equations:

brainly.com/question/13729904

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