All categories

3 years ago

Which of the following steps would you perform to the system of equations below so that the equations have equal x-coefficients?

Mathematics

2 answers:

KatRina [158]3 years ago

6 0

Answer: A) Multiply both sides of the top equation by 2.

Step-by-step explanation: The x-coefficient of the first equation (the number that is next to the x) is 4, and the x-coefficient of the second equation is 8, in order to them to be equal, we need to multiply the first equation by 2 (both sides), so the correct answer is the corresponding to option A, the equations would be:

8x+4y=8 first equation (after multiply it by 2)

8x-y=18 second equation

12345 [234]3 years ago

5 0

The answer is A. Multiply both sides of the top equation by 2

So since we know that 4 × 2 = 8, it would only make sense to multiply both sides by 2 so that the top equation has the x coefficient be 8.

You might be interested in

INEQUALITIES. 18. 10 - X < 35

irina [24]

Answer:

-25

Step-by-step explanation:

First subtract 10 from 35 which gives you 25 then ÷ 25 by -1x which gives you -25

8 0

3 years ago

Find the missing term.

igor_vitrenko [27]

Equations are used to relate equal expressions.

The missing term is: $\mathbf{ m -1}$

The equation is given as:

$\mathbf{\frac{m - n}{m^2 - n^2} + \frac{?}{(m -1)(m -n)} = \frac{2m}{m^2 - n^2}}$

Express $\mathbf{m^2 - n^2\ as\ (m - n)(m + n)}$

So, we have:

$\mathbf{\frac{m - n}{(m - n)(m + n)} + \frac{?}{(m -1)(m -n)} = \frac{2m}{(m - n)(m + n)}}$

Multiply through by $\mathbf{m - n}$

$\mathbf{\frac{m - n}{m + n} + \frac{?}{m -1} = \frac{2m}{m + n}}$

Collect like terms

$\mathbf{ \frac{?}{m -1} = \frac{2m}{m + n} - \frac{m - n}{m + n}}$

Take LCM

$\mathbf{ \frac{?}{m -1} = \frac{2m - m + n}{m + n} }$

$\mathbf{ \frac{?}{m -1} = \frac{m + n}{m + n} }$

Divide $\mathbf{ \frac{m + n}{m + n} }$

$\mathbf{ \frac{?}{m -1} = 1}$

Cross multiply

$\mathbf{ ? =(m -1)\times 1}$

$\mathbf{ ? =m -1}$

Hence, the missing term is: $\mathbf{ m -1}$

Read more about equations at:

brainly.com/question/15668451

5 0

2 years ago

Combine the like terms to create an equivalent expression: -3n-7+(-6n)+1

stira [4]

The answer to the question is -9n - 6

4 0

3 years ago

Engineers want to design seats in commercial aircraft so that they are wide enough to fit 95%of all males. (Accommodating 100%

Anarel [89]

Answer:

Upper P95 = 16.21in

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 14.4, \sigma = 1.1$