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kap26 [50]
3 years ago
8

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen

t to x from the first equation is substituted into the second equation. x + 4y = −9 2x + 5y = −6
2x + 5(4y − 9) = −6 2x + 5(−4y − 9) = −6 2(4y − 9) + 5y = −6 2(−4y − 9) + 5y = −6
Mathematics
1 answer:
alexandr1967 [171]3 years ago
6 0

The new equation after the expression equivalent to x from the first equation is substituted into the second equation is: 2(-4y-9)+5y=-6

Step-by-step explanation:

We will solve the initial steps for substitution method for finding the correct answer

Given equations are:

x+4y = -9\ \  \ \ Eqn1\\2x+5y=-6\ \ \ Eqn2

From equation one

x+4y = -9\\x+4y-4y = -9-4y\\x = -4y-9

Putting x = -4y-9 in equation 2

2(-4y-9)+5y=-6

Hence,

The new equation after the expression equivalent to x from the first equation is substituted into the second equation is: 2(-4y-9)+5y=-6

Keywords: Linear equations, variables

Learn more about linear equations at:

  • brainly.com/question/726990
  • brainly.com/question/725998

#LearnwithBrainly

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*ੈ✩‧₊˚<br> raise the fraction to higher terms as indicated <br><br> 2/3 to twenty-firsts
DIA [1.3K]

The appropriate fraction when the number is raised to higher terms will be 14/21.

<h3>How to compute the fraction?</h3>

It should be noted that when we sat raising that fraction to higher terms, it implies that changing the numerator and the denominator to higher numbers to reflect the fraction.

Here, the given number is 2/3. When it's raises higher, the appropriate fraction will be:

2/3 = x/21

x = (2 × 21)/3

x = 42/3

x = 14

Therefore, the fraction will be 14/21.

Learn more about fractions on:

brainly.com/question/17220365

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5 0
2 years ago
Consider the linear system of equations. y = –x + 9 y = 0.5x – 6 If the solution is (a,–1), what is a? a =
Nadusha1986 [10]

Answer:

The value of a is 10.

Step-by-step explanation:

We are given with the following pair of the linear system of equations below;

y = -x+9  and   y = 0.5x-6.

Also, the solution is given as (a, -1).

To find the value of 'a', we have to substitute the solution in the equation because it is stated that (a, -1) is the solution of the given two equations.

So, the x coordinate value of the solution is a and the y coordinate value of the solution is (-1).

First, taking the equation;

y = -x+9

Put the value of x = a and y = -1;

(-1) = -(a) + 9

a = 9 + 1 = 10

Now, taking the second equation;

y = 0.5x-6

Put the value of x = a and y = -1;

(-1) = 0.5(a)-6

0.5a = 6 - 1

0.5a = 5

a=\frac{5}{0.5}

a = 10

Since we get the value of a = 10 from the equations, so the value of a is 10.

8 0
3 years ago
Find the domain and range of the function
SVEN [57.7K]

Answer:

domain: (-∞ , ∞)

range: (-∞, 2]

Step-by-step explanation:

the domain is the set of values of what the x value can be. This function is parabolic and upside down, it can have a range of x values from - infinity to positive infinity. The function is most likely y=-x^2 +2

range is the output (y values) the function can possibly have. the max is 2 and includes 2 so we use bracket for that. The smallest y value can reach towards negative infinity.

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3 0
3 years ago
Read 2 more answers
If 1/3 of a set of numbers is 8 how many numbers are in the total set ?
Eduardwww [97]

Answer:

24

Step-by-step explanation:

1/3 = 8

3/3 = 8*3

7 0
3 years ago
What number is 4 times as many as 25
enyata [817]
A number 4 times as much as 25 is 100

7 0
3 years ago
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