To solve the first equation:
4.72 - 2.5x = 2x + 2.92
First, combine like terms:
4.72 - 2.92 = 2.5x + 2x1.8 = 4.5x
Next, divide by 4.5 to solve for x:
x = 1.8 / 4.5x = 0.4
So the solution for x in the first equation is x = 0.4.
To solve the second equation:
5/8y - 3/4 = -2 2/5
First, change the mixed number to an improper fraction:
-2 2/5 = -12/5
Next, add 3/4 to both sides:
5/8y = -12/5 + 3/45/8y = -48/20 + 15/205/8y = -33/20
Now, multiply by the reciprocal of 5/8 to solve for y:
y = (-33/20) * (8/5)y = -132/100y = -1.32
So the solution for y in the second equation is y = -1.32.
To solve the first equation:
4.72 - 2.5x = 2x + 2.92
First, combine like terms:
4.72 - 2.92 = 2.5x + 2x
1.8 = 4.5x
Next, divide by 4.5 to solve for x:
x = 1.8 / 4.5
x = 0.4
So the solution for x in the first equation is x = 0.4.
To solve the second equation:
5/8y - 3/4 = -2 2/5
First, change the mixed number to an improper fraction:
-2 2/5 = -12/5
Next, add 3/4 to both sides:
5/8y = -12/5 + 3/4
5/8y = -48/20 + 15/20
5/8y = -33/20
Now, multiply by the reciprocal of 5/8 to solve for y:
y = (-33/20) * (8/5)
y = -132/100
y = -1.32
So the solution for y in the second equation is y = -1.32.