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3 years ago

Using cramer’s rule, what is the value of y in the system of linear equations below? 2x-y=3 5x-2y=8

Mathematics

2 answers:

postnew [5]3 years ago

3 0

The answer is y=2×-3 and y=4-5/2x

scZoUnD [109]3 years ago

3 0

Answer:

The value of y is 1

Step-by-step explanation:

Given the system of linear equations

2x-y=3

5x-2y=8

we have to find the value of y using cramer’s rule

Cramer’s Rule is a method that uses determinants to solve the systems of equations that have same number of equations as that of variables.

The coefficient matrix is

$D=\begin{bmatrix}2&-1\\5&-2\end{bmatrix}$

$|D|=\begin{vmatrix}2&-1\\5&-2\end{vmatrix}=-4(-5)=-4+5=1$

For Y-matrix

$D_y=\begin{bmatrix}2&3\\5&8\end{bmatrix}$

$|D_y|=\begin{vmatrix}2 & 3\\5 & 8\end{vmatrix}=16-15=1$

By cramer's rule

$y=\frac{|D_y|}{|D|}=\frac{1}{1}=1$

Hence, value of y is 1

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3 years ago

Graph the function f(x) = x3 – 5x2 + 6x using the graphing calculator. What are the solutions to the related equation? Check all

Juli2301 [7.4K]

the solutions to the related equation are 0,2,3 .

<u>Step-by-step explanation:</u>

Here we have , function f(x) = x3 – 5x2 + 6x . Graph of this function is given below . We need to find What are the solutions to the related equation . Let's find out:

Solution of graph means the value of x at which the value of f(x) or function is zero . We can determine this by seeing the graph as at what value of x does the graph intersect or cut x-axis !

At x = 0 .

From the graph , at x=0 we have f(x) = 0 i.e.

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⇒ $f(0) = 0^3- 5(0)^2 + 6(0)$

⇒ $f(0) =0$

At x = 2 .

From the graph , at x=2 we have f(x) = 0 i.e.

⇒ $f(x) = x^3- 5x^2 + 6x$

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At x=3 .

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⇒ $f(x) = x^3- 5x^2 + 6x$

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3 years ago

Jessica and Mike are making presentations for a class project. Jessica's slideshow starts with a verbal introduction that is 16

uysha [10]

Answer:

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Step-by-step explanation:

we have to setup equation that makes them equal to each other if you know what i mean. 2x+16=3x+10

then we just solve for x

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subtract 10 from each side

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Doss [256]

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So the shop makes a profit of $41.71 in the month of January by selling newspapers worth $8341.50. I hope the procedure is perfectly clear for you to understand.

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