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3 years ago

What is the best first step for solving the given system using substitution while avoiding fractions? =9x+4x=10 -9x+3y=3

Mathematics

2 answers:

padilas [110]3 years ago

4 0

Answer:

Solve for y in the second equation

D is correct

Step-by-step explanation:

Given: 9x+4y=10 and -9x+3y=3 system of equation.

We are given system of equation in x and y form of straight line.

We need to solve for x and y without using fraction.

We will choose those equation has common factor.

If we pick first equation coefficients are 9,4 and 10.

Here, no any common factor.

Now we pick second equation.

-9x+3y=3

Common factors of coefficients are 3

If we divide each term by 3 we will get coefficient of y be 1 and rest are not in fraction.

So, we will pick second equation and solve for y.

-9x + 3y = 3

Divide by 3 both sides to each term

-3x + y = 1

Add 3x both sides

y = 3x + 1

So, we get y = 3x + 1 . In this equation none is fraction term.

aivan3 [116]3 years ago

3 0

Answer:

Solve for y in the second equation

Step-by-step explanation:

We assume your system is ...

-9x +4y = 10
-9x +3y = 3

Dividing the second equation by 3 gives ...

-3x +y = 1

so an expression for y without fractions can be found by solving for y, that is, by adding 3x:

y = 3x +1

_____

Comment on alternate solution

We'd be tempted to solve the first equation for -9x and substitute for that.

-9x = 10 -4y

(10 -4y) +3y = 3 . . . . . substitute for -9x

-y = -7 . . . . . . . . . . . . . simplify, subtract 10

y = 7 . . . . . . . . . . . . . . multiply by -1

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Step-by-step explanation:

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Answers:

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===============================================

Explanation:

Logarithms, or log for short, basically undo what exponents do.

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3 years ago

Ramiro earns $20 per hour during the week and $30 per hour for overtime on the weekends. One week Ramiro earned a total of $650.

nika2105 [10]

Answer:

Week=25 Hours

Weekend= 5 Hours

Step-by-step explanation:

So we need to use the info they gave us and create two equations. Firstly we know how much he gets paid per hour during the week (x) and how much he gets paid on the weekend (y).

$20x+$30y=$650

We get this because we know the combined rates he is paid times the hours should add up to the amount he earned.

The next equation will be made off of the information that he worked 5 times as many hours during the week as on the weekend. This tells us that we will take the weekend hours (y) and multiply them by 5 in order to get the week hours (x).

x=5y Now, since we have one variable by itself, we can plug it in for x in the first equation.

20(5y)+30y=650 Our first step here is to distribute the 20 to the 5y in order to eliminate the parenthesis.

100y+30y=650 Next add the like terms together (100y+30y).

Now all we have to do to find y is divide by 130 on both sides to get y alone.

130y=650

________

130 130

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x=5(5)

x=25

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