The equation is .
Solve by graphing.
\Apply subtraction property of equality: Subtract 14x from each side.
\Apply commutative property of addition: a + b = b + a.
\ (Simplify)
(Subtract 6 from each side)
(Simplify)
Apply division property of equality: Divide each side by 2.
\ (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 graph intersects the x-axis at 2, hence the solution is 2.
Check:-
\To check the solution, substitute in equation
.
(Multiply:
)
(Add:
)
The solution is true.
The root of the equation is 2.