All categories

3 years ago

Which statement correctly explains how Mari could find the solution to the following system of linear equations using

Mathematics

1 answer:

just olya [345]3 years ago

7 0

Multiply the first equation by 7 and the second equation by 2, and then add.

Step-by-step explanation:

2f - 5g=-9

-7f + 3g=4

To eliminate any variable , we need to make the coefficients same with different sign and add it

the coefficient of 'f' in first equation is 2

the coefficient of 'f' in second equation is -7

We already have different sign so we make the coefficients same

To make the coefficient same , we multiply the first equation by 7 and second equation by 2

So equation becomes

14f - 35g = -63

-14f + 6g = 8

Now when we add both equations, 'f' gets cancelled

-29g = -55

You might be interested in

How do you do equations and equalities on a number line

castortr0y [4]

To graph an equation on a number line, You place a point at where the number lies. For example, x=5 would mean that you place a point on 5 and not draw a line.

To graph an inequality on a number line, if depends if it is <, >, ≤, or ≥ . If it is ≤, it is a closed point on the number and a line moving to the left of the number. If it is a ≥, then it is a closed point on the number with a continuous line to the right. If it is a <, it is an open point on the number with a line going to the left. If it is a >, then it is an open point going to the right.

I'll attach a photo to show you what it looks like! :) Hope this helps! :)

8 0

3 years ago

A polling organization contacts 1172 male university graduates who have a white collar job and asks whether or not they had rece

hichkok12 [17]

Answer:

The population in the study are those male university graduates who have a white collar job.

Step-by-step explanation:

This is a common statistics practice, when we want to study something from a population, we find a sample of this population.

For example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents wheter they are Buffalo Bills fans, and expand this to the entire population of New York State residents.

In this problem, we have that:

Sample of 1172 male university graduates who have a white collar job and asks whether or not they had received a raise atnbsp work nbspduring the past 4 months.

What is the population in the study?

The sample is of male university graduates who have a white collar job.

So the population in the study are those male university graduates who have a white collar job.

4 0

3 years ago

A loss of 500 in stock market is worse than a gain of $200

wariber [46]

700 stock market is worse than gain

3 0

2 years ago

Which equation has x=2/3 as a solution and why?

eduard

There are an infinite number of different equations that have
x=2/3 as the solution, or as one of several solutions.

You didn't show us your list of choices, so we can't help you
pick the right one.

Just take each choice, one at a time. Write ' 2/3 ' in place of 'x'
in each equation, and simplify everything. You'll wind up with
one equation that's true, and the others will say something that's
nonsense.

The one that's true is the one that has x=2/3 as its solution.

6 0

3 years ago

A slushy representative convinces you to lease a machine for $200 per month. You discover that you are selling $900 per month of

mrs_skeptik [129]

If it cost $200 per month and you are makeing $900 per month you are making money off the machine.

6 0

2 years ago

Read 2 more answers