How do you solve $x - y = 0$ and $x - y - 2 = 0$ using substitution?

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How do you solve $x - y = 0$ and $x - y - 2 = 0$ using substitution?

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Answer 1 · 2018-03-21T11:28:13

This system of equations is inconsistent, so has an empty solution set.

Explanation:

Given:

${ (x-y = 0), (x-y-2 = 0) :}$

Using the first equation, we get a value $0$ for $x-y$ , which we can then substitute into the second equation to get:

$0 - 2 = 0$

which is false.

So this system is inconsistent and there are no values of $x, y$ which satisfy it.

Answer 2 · 2018-03-21T11:28:23

See a solution process below:

Explanation:

Step 1) Solve the first equation for $x$ :

$x - y = 0$

$x - y + color(red)(y) = 0 + color(red)(y)$

$x - 0 = y$

$x = y$

Step 2) Substitute $y$ for $x$ in the second equation and solve for $y$ :

$x - y - 2 = 0$ becomes:

$y - y - 2 = 0$

$0 - 2 = 0$

$-2 != 0$

Because $-2$ is definitely not equal to $0$ there are now solutions for this problem.

Or, the solution is the empty or null set: ${O/}$

This indicates the two lines represented by the equations in the problem are parallel lines and not the same lines.

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How do you solve $x - y = 0$ and $x - y - 2 = 0$ using substitution?

2 Answers

Explanation:

Explanation:

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Science

Math

Humanities

... and beyond

How do you solve x - y = 0x - y = 0 and x - y - 2 = 0 x - y - 2 = 0 using substitution?

2 Answers

Explanation:

Explanation:

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How do you solve $x - y = 0$ and $x - y - 2 = 0$ using substitution?