Answer:
Hello! Here are your answers for Part A:
4(x + 6) - 11 = 25 is a multi-step equation.
-1/2(2/3a - 4) = 1/2a - 7 is an equation with rational coefficients.
y - 23 = 8 is a one-step equation.
-3m - 2 = -17 is a two-step equation.
For Part B:
Find the common denominator -
x/2 - 7 = 4
x/2 + 2(-7)/2 = 4
Combine the fractions with the common denominator -
x/2 + 2(-7)/2 = 4
x + 2(-7)/2 = 4
Multiply the numbers -
x + 2(-7)/2 = 4
x - 14/2 = 4
Multiply all terms by the same value to eliminate fraction denominators -
x - 14/2 = 4
2 * x - 14/2 = 2 * 4
Cancel multiplied terms that are in the denominator -
2 * x - 14/2 = 2 * 4
x - 14 = 2 * 4
Multiply the numbers -
x - 14 = 2 * 4
x - 14 = 8
Add 14 to both sides -
x - 14 = 8
x - 14 + 14 = 8 + 14
Simplify -
x - 14 + 14 = 8 + 14
x = 8 + 14
x = 22
The solution to this equation is 22. 6 is NOT a solution.
Hope this helps! Have a great day.
