Transcript Document

1
34 x  11
3x a 4 5 2xx2a71
2
If you had this equation,
how would you move
the 7
3x  3  x  7
to the other side
of the equation?
3x  3  x  7
You would subtract it . . .
. . . wouldn’t you?
3x  3  x  7
7
7
This equation is probably
different from
other equations
you have solved.
3x  3  x  7
What makes it different?
It is different because
it has an x
on each side.
3x  3  x  7
How would you move
the x
from the right side
to the left?
3x  3  x  7
You would move the x
exactly the same way
you would move the 7.
3x  3  x  7
You would subtract it . . .
. . . wouldn’t you?
3x  3  x  7
x
x
Now when you simplify. . .
3x  x  ?2 x
3x  3  x  7
x
x
Now when you simplify. . .
x  x  ?0
3x  3  x  7
x
x
. . . the equation becomes
the type of equation
3x  3  x  7
x
x
. . . the equation becomes
the type of equation
2x  3  7
3x  3  x  7
that you already know
how to solve.
2x  3  7
3 3
that you already know
how to solve.
2x  4
2 2
that you already know
how to solve.
x2
If you want to solve
equations correctly
(Don’t
(andget
you
you?)
do)
you will
in
the habit
of checking solutions.
Checking the solution:
x  2?
3x  3  x  7
32  3  2  7 ?
6  3  9?
Try this one:
 2 x  10  9 x  11
 9x
 9x
7 x  10  11
 10  10
7 x  21
7 7
Try this one:
x  3?
 2 x  10  9 x  11
 23  10  93  11?
 6  10  27  11?
 16  16 ?
You
Okay—here’s
say you wantone
onemore.
more?
4x  7  2x 1
Did
If you
youdid,
check
youyou
know
answer?
the
solution is
x  4.