How do you solve the following system: $7 x - 2 y = - 67, x + 3 y = 3$ $7x-2y= -67, x+3y=3$ ?

Question

How do you solve the following system: $7 x - 2 y = - 67, x + 3 y = 3$ $7x-2y= -67, x+3y=3$ ?

1 Answer

Impact of this question

1136 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-02-05T14:56:42

$x = 10 \frac{5}{19}$ $x=10 5/19" "$ I will let the reader solve for $y$ $y$ . Approach given.

Explanation:

Given:
$7 x - 2 y = - 67$ $7x-2y=-67$ .................................(1)
$x + 3 y = 3$ $x+3y=3$ ............................................(2)
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Rewrite equation (2) to give:

$y=-1/3x+1" ".......................(2_a)$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Substitute $(2_a)$ into (1) giving:

$7x-2(-1/3x+1)=-67" "....(1_a)$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
$color(blue)("Solving for "x)$

$7x+2/3x-2=-67$

$19/3 x=-65$

$color(blue)(x=-195/19" "->10 5/19)$

$color(purple)("Notice how I keep fractional values instead of decimals.")$ $color(purple)("It is more precise that way!")$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

I will let you solve for $y$ . Just substitute the value for $x" in "(2_a)$
$(2_a)$ looks as though it is the simplest one to use!

Science

Math

Humanities

... and beyond

How do you solve the following system: $7 x - 2 y = - 67, x + 3 y = 3$ $7x-2y= -67, x+3y=3$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you solve the following system: 7x-2y= -67, x+3y=3 7x−2y=−67,x+3y=37x-2y= -67, x+3y=3 ?

1 Answer

Explanation:

Related questions

Impact of this question

How do you solve the following system: $7 x - 2 y = - 67, x + 3 y = 3$ $7x-2y= -67, x+3y=3$ ?