Which is the best way to solve the given equations-y - 2-3x - 3-5y - -2-3x - 2-5

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Ordered Pair

Which is the ...

Question

Which is the best way to solve the given equations?
$y = \frac{2}{3} x + 3.5$
$y = - \frac{2}{3} x - 2.5$

Graphing

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Substitution

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Elimination

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Can't be determined

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Solution

The correct option is C Elimination
The x and y cofficients are same in both the equations. So, the easiest way to solve the above equations is by elimination. When we add two equations, one element is always eliminated as the coefficients are same.

So, elimination method is the best way to solve an equation if the cofficients of x and y are same.

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Similar questions

Q. Solve the system of equations given below
(i)

x + y = 2

and

3 x - y = 0

Q. Solve the following simultaneous equations:

\frac{1}{3 x + y} + \frac{1}{3 x - y} = \frac{3}{4}, \frac{1}{2 (3 x - y)} - \frac{1}{2 (3 x - y)} = - \frac{1}{8}

Q. Solve the following pair of equations by reducing them to a pair of linear equations:

\frac{1}{(3 x + y)} + \frac{1}{(3 x - y)} = \frac{3}{4}, \frac{1}{2 (3 x + y)} - \frac{1}{2 (3 x - y)} = \frac{- 1}{8}

Q. Solve the following systems of equations:

\frac{1}{3 x + y} + \frac{1}{3 x - y} = \frac{3}{4}

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Question 1 (viii)
Solve the following pairs of equations by reducing them to a pair of linear equations:
$\frac{1}{3 x + y} + \frac{1}{3 x - y} = \frac{3}{4}$
$\frac{1}{2 (3 x + y)} - \frac{1}{2 (3 x - y)} = \frac{- 1}{8}$

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Which is the best way to solve the given equations? y=23x+3.5 y=−23x−2.5

Which is the best way to solve the given equations?
$y = \frac{2}{3} x + 3.5$
$y = - \frac{2}{3} x - 2.5$