How do you solve the following linear system: $x + y = 6 , x = y + 2$ ?

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How do you solve the following linear system: $x + y = 6 , x = y + 2$ ?

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Answer 1 · 2015-11-19T17:45:57

Substitute $x$ by using $y$ or vice versa.
Solve it like a normal equation
Solve for the other variable

Explanation:

$1: x + y = 6$
$2: x = y + 2$

The second equation helps us a lot here, since $x$ is isolated from $y$ and the constant. The second equation states that $x$ can be written as $y + 2$ , since $x = y + 2$ . Put this expression into equation number 1.

$1: color(red)(y + 2) + y = 6$
NOTE: The red symbolizes a $x$ .

$1: 2y = 6 - 2$
$1: 2y = 4$
$1: y = 2$

Put the value of $y$ into the first equation.
$x + y = 6$
$x + 2 = 6$
$x = 6 - 2$
$x = 4$

Conclusion: $x = 4$ and $y=2$

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How do you solve the following linear system: $x + y = 6 , x = y + 2$ ?

1 Answer

Explanation:

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How do you solve the following linear system: x + y = 6 , x = y + 2 x + y = 6 , x = y + 2 ?

1 Answer

Explanation:

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How do you solve the following linear system: $x + y = 6 , x = y + 2$ ?