Brian's gas tank is 1/6 full. After he buys 7 gallons of gas, it is 1/2 full. How many gallons can Brian's tank hold ?

Let x= total number of gallons Bob's gas tank can hold

Step Two: Create an equation

(1/6)(x)+7=(1/2)(x)

.17x+7=.50x

.17x-.50x=-7

-0.33x=-7

x=21

∴Bob's gas tank can hold 21 gallons.

for the free

< < < emily> > >

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.