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1 year ago

Anyone can help please and quickkkk

Mathematics

1 answer:

melomori [17]1 year ago

5 0

The values of x, y, and z are 1, 2, and 3 respectively after using the substitution method.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a linear equation in three variable:

2x + 3y - z = 5 ...(1)

4x - y - z = -1 ...(2)

x + 4y + z = 12 ...(3)

$\rm \mathrm{Substitute\:}x=\dfrac{5-3y+z}{2}$ (from the equation 1 and 2)

After solving:

$\rm \begin{bmatrix}-7y+z+10=-1\\ \dfrac{5y+3z+5}{2}=12\end{bmatrix}$

From the above, two equations:
y =2

z =3

Plug the above values in equation 1

x = 1

Thus, the values of x, y, and z are 1, 2, and 3 respectively after using the substitution method.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

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