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

Question

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

1 Answer

Impact of this question

1801 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-11-19T17:45:57

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

Explanation:

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

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

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

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

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

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

Science

Math

Humanities

... and beyond

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

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

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

1 Answer

Explanation:

Related questions

Impact of this question

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