All categories

3 years ago

Solve the system of the linear equation using any method: 2x+5y=4 4x+7y=11

Mathematics

2 answers:

Olegator [25]3 years ago

4 0

(-1,4.5) will be the answer.

mr_godi [17]3 years ago

3 0

Multiply the first equation by 2:
4x+10y=8
Subtract the second equation from this so the 4x cancels:
3y = -3
y = -1
Plug into first equation:
2x -5 = 4
2x = 9
x = 9/2 = 4 1/2 = 4.5
So (x,y) = (-1,4.5)

You might be interested in

In a Create of 30 eggs only 60 % is good how many are bad?

andrew11 [14]

Answer:

In my point of view 40% are bad

5 0

2 years ago

Kedwin can watch movies at home in two ways. he can order unlimited online movies for $10 a month. he could also go to the local

dimulka [17.4K]

Answer:

The answer is option d-13 movies per month

Step-by-step explanation:

the reason is that is the first point on the graph that is above the price of the cost of the monthly unlimited movies

3 0

2 years ago

Read 2 more answers

A small business earns a profit of $4,500 in

olchik [2.2K]

Answer:

$2750/month

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Solve for x: ( sqrt 7) ^ 6x = 49 ^ (x-6)

LiRa [457]

$(\sqrt{7})^{6x}=49^{x-6} \\
(7^\frac{1}{2})^{6x}=(7^2)^{x-6} \\
7^{\frac{1}{2} \times 6x}=7^{2(x-6)} \\
7^{3x}=7^{2x-12} \\
3x=2x-12 \\
3x-2x=-12 \\
x=-12$

8 0

2 years ago

Terry and Callie do word processing. For a certain prospectus Callie can prepare it two hours faster than Terry can. If they wor

Dahasolnce [82]

Time taken by jerry alone is 10.1 hours

Time taken by callie alone is 8.1 hours

Solution:

Given:- For a certain prospectus Callie can prepare it two hours faster than Terry can

Let the time taken by Terry be "a" hours

So, the time taken by Callie will be (a-2) hours

Hence, the efficiency of Callie and Terry per hour is $\frac{1}{a-2} \text { and } \frac{1}{a} \text { respectively }$

If they work together they can do the entire prospectus in five hours

$\text {So, } \frac{1}{a-2}+\frac{1}{a}=\frac{1}{5}$

On cross-multiplication we get,

$\frac{a+(a-2)}{(a-2) \times a}=\frac{1}{5}$

$\frac{2 a-2}{(a-2) \times a}=\frac{1}{5}$

On cross multiplication ,we get

$\begin{array}{l}{5 \times(2 a-2)=a \times(a-2)} \\\\ {10 a-10=a^{2}-2 a} \\\\ {a^{2}-2 a-10 a+10=0} \\\\ {a^{2}-12 a+10=0}\end{array}$

using quadratic formula:-

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

$x=\frac{12 \pm \sqrt{144-40}}{2}$

$\begin{array}{l}{x=\frac{12 \pm \sqrt{144-40}}{2}} \\\\ {x=\frac{12 \pm \sqrt{104}}{2}} \\\\ {x=\frac{12 \pm 2 \sqrt{26}}{2}} \\\\ {x=6 \pm \sqrt{26}=6 \pm 5.1} \\\\ {x=10.1 \text { or } x=0.9}\end{array}$

If we take a = 0.9, then while calculating time taken by callie = a - 2 we will end up in negative value

Let us take a = 10.1

So time taken by jerry alone = a = 10.1 hours

Time taken by callie alone = a - 2 = 10.1 - 2 = 8.1 hours

3 0

2 years ago