Part a: solve the equation 7x + 3x − 18 = 6(x + 3), and show your work. (5 points)
part b: use this list of properties to justify each step of your math work. justifications may be used more than once if needed.
distributive property
subtraction property of equality
combine like terms
multiplication property of equality
division property of equality
given addition property of equality
answer as well as you can

x = 9

step-by-step explanation:

7x + 3x − 18 = 6(x + 3)     given

10x − 18 = 6(x + 3)     combine like terms

10x − 18 = 6x + 18     distributive property

10x − 18 - 6x = 6x + 18 - 6x       subtraction property of equality

4x − 18 = 18     combine like terms

4x − 18 + 18 = 18 + 18       addition property of equality

4x = 36       combine like terms

x = 9       division property of equality

the difference between a number and 5 is -2.

step-by-step explanation:

notice that the equation you are given has -2 (negative 2) on the right side, not 2. when you subtract 5 from a number n, you are finding the difference between the number and 5.

the difference between a number and 5 is -2.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47