Question

Solve the equation. Justify each step

Answer 1

Answer:

h=-6.5

Step-by-step explanation:

1. Write down the equation

>> 9(h-4) = 5(3h-2)

2.expand brackets on both sides

>> 9h-36 =15h-10

(9xh=9h, 9x-4=-36 >> 9h+-36 =9h-36. Same method for the other side)

3. Cancel wherever you can

>> -36 = 4h-10 ( Delete 9h on both sides)

>> -26= 4h ( Add -10 on both sides)

4. Calculate h

>> 4 fits 4.5 times inside 26 (4x4.5=26)

>> since there is a negative, don't forget to add that

>> so h = -4.5

Good luck and I hope you found this helpful. I am happy to help you if you have any other questions!!

Answer 2

Given

$9(h-4) = 5(3h-2)$

Distribute 9 on the left hand side and 5 on the right hand side (distributive property of addition)

$9h-36=15h-10$

Add 36 to both sides (addition property of equality)

$9h=15h+26$

Subtract 15h to both sides (subtraction property of equality)

$-6h=26$

Divide both sides by -6 (division property of equality)

$h=-\dfrac{26}{6}=-\dfrac{13}{3}$