The equation is .
Solve by graphing.
\Apply multiplication property of equality: Multiply each side by 2.
\ (Simplify)
Apply subtraction property of equality: Subtract x from each side.
\Apply commutative property of addition: a + b = b + a.
\ (Simplify)
Apply addition property of equality: Add 20 to each side.
\ (Simplify)
\
Apply division property of equality: Divide each side by 5.
\ (Simplify)
Solve by graphing.
\The equation is .
The related function is .
To graph the function make a table
\Draw a table
\ \ \
x \ | \
f(x) = x | \
f(x) \ | \
(x, f(x)) \ |
\
1 \ | \
= 1 | \
| \
(1, |
\
2 \ | \
= 2 | \
0 \ | \
(2, 0) \ |
Use these ordered pairs to graph the equation.
\1. Draw a coordinate plane.
\2. Plot the points.
\3. Draw a line through these points.
\The graphintersects the x-axis at 2, hence the solution is 2.
Check:-
\To check the solution substitute in equation
.
(Multiply:
)
(Subtract:
)
The root of the equation is 2.