Hypatia wants to use elimination method to solve the system of equations below. she thinks that he variable will be eliminated if you multiply the first equation by "-1" and then add equations together. Is she correct? Explain your reasoning.

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maheshpatelvVT maheshpatelvVT · Answer 1 · 2022-05-28T11:51:27+02:00

Hypatia is correct if she multiply the first equation by "-1" and then add equations together, x will be eliminated.

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.

Here the equations are not given:

So we are assuming the equations are:

x + y = 3 ...(1)

x + 2y = 2 ...(2)

If Hypatia multiplies the first equation by "-1" and then add equations together.

- (x + y ) = -3

-x -y = -3

x + 2y = 2

__________

y = -1

Plug the above value in the equation (1):

x = 4

Thus, Hypatia is correct if she multiply the first equation by "-1" and then add equations together, x will be eliminated.

Learn more about the linear equation here:

brainly.com/question/11897796

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