The equation is .
Solve by graphing.
\Apply subtraction property of equality: Subtract 5x from each side.
\Apply commutative property of addition: a + b = b + a.
\ (Simplify)
Apply addition property of equality: Add 30 to each side.
\ (Simplify)
\
Apply division property of equality: Divide each side by 10.
\ (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 +2 \ | \
\
f(x) \ | \
\
(x, f(x)) \ | \
\
1 \ | \
\
= 1 +2 \ | \
\
3 \ | \
\
(1, 3) \ | \
\
2 \ | \
\
= 2 +2 \ | \
\
4 \ | \
\
(2, 4) \ | \
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 , hence the solution is
.
Check:-
\To check the solution substitute in equation
.
(Multiply:
)
(Subtract:
)
The solution is true.
The root of the equation is
.