All categories

3 years ago

Please help me solve the equation3x+10y=487x+4y=54

2 answers:

8 0

3x+10y=48
7x+4y=54

multiply the first equation by 2 and the 2nd equation by 5 to remove y
6x+20y=96
35x+20y=270
29x=174
x=6

substitute to any equation
7x+4y=54
42+4y=54
4y=12
y=3

the value of x is 6 and the value of y is 3

ser-zykov [4K]3 years ago

3 0

Answer: x=36/7

y=9/2

Step-by-step explanation:

1 Solve for yy in 3+10y=483+10y=48.

y=\frac{9}{2}y=

2 Substitute y=\frac{9}{2}y=

into 7x+4y=547x+4y=54.

7x+18=547x+18=54

3 Solve for xx in 7x+18=547x+18=54.

x=\frac{36}{7}x=

4 Therefore,

\begin{aligned}&x=\frac{36}{7}\\&y=\frac{9}{2}\end{aligned}

You might be interested in

Which of the following options best describes the slope of line a?

Naya [18.7K]

Answer:

positive

Step-by-step explanation:

Most of line a is in the positive so I would say positive

5 0

3 years ago

Read 2 more answers

in a AP the first term is 8,nth term is 33 and sum to first n terms is 123.Find n and common difference

allsm [11]

I believe there is no such AP...

Recursively, this sequence is supposed to be given by

$\begin{cases}a_1=8\\a_k=a_{k-1}+d&\text{for }k>1\end{cases}$

so that

$a_k=a_{k-1}+d=a_{k-2}+2d=\cdots=a_1+(k-1)d$

$a_n=a_1+(n-1)d$

$33=8+(n-1)d$

$21=(n-1)d$

$n$ has to be an integer, which means there are 4 possible cases.

Case 1: $n-1=1$ and $d=21$ . But

$\displaystyle\sum_{k=1}^2(8+21(k-1))=37\neq123$

Case 2: $n-1=21$ and $d=1$ . But

$\displaystyle\sum_{k=1}^{22}(8+1(k-1))=407\neq123$

Case 3: $n-1=3$ and $d=7$ . But

$\displaystyle\sum_{k=1}^4(8+7(k-1))=74\neq123$

Case 4: $n-1=7$ and $d=3$ . But

$\displaystyle\sum_{k=1}^8(8+3(k-1))=148\neq123$

8 0

3 years ago

Which variable has the most impact on growing your money? If you could increase one of the variables in the compound interest fo

postnew [5]

Answer:

I would increase the number and multiply

Step-by-step explanation:

3 0

3 years ago

Which model shows the correct factorization of x2 – x – 2?

Murljashka [212]

Answer: The correct factors are

(x-1) and (x+2)

Step-by-step explanation:

Step one :

To factorize the equation

x²– x – 2=0

First we look for numbers that when multiplied will result to the constant term and when added will result to the second term (1x, - 2x)

Step two :

We replace the second term with these factors we have

x²–(x-2x)–2=0

x²–x+2x–2=0

Factoring the expression we have

x(x–1)+2(x–1)=0

Hence the factors will be

(x-1) and (x+2)

8 0

4 years ago

Read 2 more answers

PLEASE HELP 25 POINTS!

patriot [66]

Answer:

46,666

Step-by-step explanation:

3 0

3 years ago