I’m stuck on this problem, please help!! It’s timeddd!!

How many solutions does this linear system have? y = y equals StartFraction 2 over 3 EndFraction x plus 2. X 2 6x – 4y = –10 one

nordsb [41]

The system of equations provides a unique solution(one solution) at (-0.6, 1.6).

<h2>Given to us,</h2>

$y=\dfrac{2}{3}x+2$
$6x-4y=-10$

<h3>Equation 2</h3>

As we already have the value of y from equation 1, substitute its value in equation 2,

$6x-4y=-10$

$6x-4(\dfrac{2}{3}x+2)=-10$

$6x-\dfrac{8}{3}x-8=-10$

$\dfrac{6x}{1}-\dfrac{8}{3}x=-10+8$

$\dfrac{6x\times 3}{1\times 3}-\dfrac{8}{3}x=-2$

$\dfrac{18x-8x}{3}=-2$

$10x=-6\\$

$x=\dfrac{-6}{10} \\\\x=-0.6$

<h3>Equation 1,</h3>

$y=\dfrac{2}{3}x+2$

substitute the value of x in equation 1,

$y=\dfrac{2}{3}(\dfrac{-6}{10})+2\\\\y = \dfrac{-2}{5}+2\\\\y= \dfrac{-2+10}{5}\\\\y = \dfrac{8}{5}\\\\y=1.6$

As we can see the system of equations provides a unique solution(one solution) at (-0.6, 1.6).

Learn more about the system of equations:

brainly.com/question/12895249

3 0

3 years ago

-x-2y=-10 how do i find three points that solve the equation. Graphing linear equations

scoray [572]

Your answer is any numbers that complete the equation.

The first number would be the x, the second number would by y

If you plug those numbers in, the fulfill the equation.

There is an infinite number of solutions to this problem

7 0

3 years ago

Tlaloc pumped up 56 balls. He pumped up 5 dodge balls for every 9 other balls. Complete the table.

Radda [10]

The number of dodgeballs Ttaloc pumped up is 20.

The number of other balls Ttaloc pumped up is 36.

The orginal number of the total ball is 14.

<h3>What are ratios?</h3>

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

The number of dodgeballs Ttaloc pumped up = (5/14) x 56 = 20

The number of other balls Ttaloc pumped up = (9/14) x 56 = 36.

To learn more about ratios, please check: brainly.com/question/25927869

5 0

2 years ago

What are the explicit equation and domain for an arithmetic sequence with a first term of 8 and a second term of 5?

boyakko [2]

Answer:

Option C.

Step-by-step explanation:

It is given that the first term of the arithmetic sequence is 8 and second term is 5.

$a=8$

$d=5-8=-3$

We know that the explicit equation of an AP is

$a_n=a+(n-1)d$ , where n is an integer greater than or equal to 1.

where, a is first term and d is common difference.

$a_n=8+(n-1)(-3)$

$a_n=8-3(n-1)$

So, domain of this explicit equation is all integers where n ≥ 1.

Therefore, the correct option is C.

4 0

4 years ago

An accountant needs to withhold 18% of income for taxes if the income is below $40,000, and 27% of income if the income is $40,0

ser-zykov [4K]

Answer:

=IF(A1<40000,(18%*I18),(27%*A1))

Step-by-step explanation:

The spreadsheet expression to be used is the "IF" function. The "IF" function is one that returns a value based on the conditions stated thereafter in the spreadsheet formula. Like every spreadsheet function, this also starts with =

In the question given,

The value to be examined is in cell A1. if A1 is less than $40000 is written as A1<40000, is true, the spreadsheets executes the next function stated as (18%*I18) otherwise (which in this case can be interpreted as A1 greater than or equal to $40000), compute the next command as shown above; (27%*A1)

The final parenthesis closes the command.

Hence the expression is IF(A1<40000,(18%*I18),(27%*A1)).

4 0

3 years ago