3(3k-10)+1=8(3/2k+2) show work

k=−15

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(3k−10)+1=8( 3 /2 k+2)

(3)(3k)+(3)(−10)+1=(8)( 3 /2 k)+(8)(2)(Distribute)

9k+−30+1=12k+16

(9k)+(−30+1)=12k+16(Combine Like Terms)

9k+−29=12k+16

9k−29=12k+16

Step 2: Subtract 12k from both sides.

9k−29−12k=12k+16−12k

−3k−29=16

Step 3: Add 29 to both sides.

−3k−29+29=16+29

−3k=45

Step 4: Divide both sides by -3.

−3k /−3 = 45 /−3

k=−15

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.