Solve for $a$: $3a-7(3-a)=5$. Express your answer as a common fraction in simplest form.

2.6

Step-by-step explanation:

just put one part of the equation in y1 and the other in y2 and hit 2nd trace 5 an hit enter 4 times

then it will bring a graph hit enter 3 time again and it will show u the answer at the bottom left

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is