Final answer:
To solve for x, isolate the variable on one side of the equation by performing inverse operations. For the first equation, divide by 75° and then solve for x. For the second equation, divide by 649 and then solve for x.
Step-by-step explanation:
To solve for x in the given equations, we need to isolate x on one side of the equation.
Equation 1:
75°(2x - 5) = 13
Divide both sides of the equation by 75° to isolate the expression (2x - 5):
2x - 5 = 13/75°
Add 5 to both sides of the equation:
2x = 13/75° + 5
Convert 13/75° to decimal form, then simplify:
2x = 0.1733 + 5
2x = 5.1733
Divide both sides of the equation by 2 to solve for x:
x = 2.5867
Equation 2:
649(48 + x) = 14
Divide both sides of the equation by 649 to isolate the expression (48 + x):
48 + x = 14/649
Subtract 48 from both sides of the equation:
x = 14/649 - 48
Convert 14/649 to decimal form, then simplify:
x = 0.0216 - 48
x = -47.9784