Answer:
Explanation:
18.) 19 - 3x = 14 + 2x
To solve for x, we can simplify the equation by moving all the x terms to one side and all the constant terms to the other side:
19 - 3x = 14 + 2x
19 - 14 = 2x + 3x
5 = 5x
x = 1
To check our solution, we can substitute x = 1 back into the original equation and see if it holds true:
19 - 3(1) = 14 + 2(1)
19 - 3 = 14 + 2
16 = 16
Since both sides of the equation are equal when x = 1, we have verified that x = 1 is the correct solution.
19.) 2(7 + 5y) - 3y = -35
We can start by simplifying the left-hand side of the equation by using the distributive property:
2(7 + 5y) - 3y = 14 + 10y - 3y = 14 + 7y
Now, we can solve for y by moving the constant term to the other side:
14 + 7y = -35
7y = -49
y = -7
To check our solution, we can substitute y = -7 back into the original equation and see if it holds true:
2(7 + 5(-7)) - 3(-7) = -35
2(7 - 35) + 21 = -35
-56 + 21 = -35
-35 = -35
Since both sides of the equation are equal when y = -7, we have verified that y = -7 is the correct solution
20.) 14 + 4(x - 5) = 6 - 2x
We can start by simplifying the left-hand side of the equation by using the distributive property:
14 + 4(x - 5) = 14 + 4x - 20 = 4x - 6
Now, we can solve for x by moving the constant term to the other side:
4x - 6 = 6 - 2x
6x = 12
x = 2
To check our solution, we can substitute x = 2 back into the original equation and see if it holds true:
14 + 4(2 - 5) = 6 - 2(2)
14 - 12 = 6 - 4
2 = 2
Since both sides of the equation are equal when x = 2, we have verified that x = 2 is the correct solution.