To solve the equation, we need to isolate x on one side of the equation.
Given: 5/3 * x + 11/3 = - 4/3
To eliminate the 11/3 term, we subtract 11/3 from both sides of the equation:
5/3 * x = - 4/3 - 11/3
Simplifying the right side:
5/3 * x = - 15/3
To solve for x, we need to only have x on one side of the equation. Since x is currently being multiplied by 5/3, we can remove this multiplication by multiplying both sides of the equation by its reciprocal, which is 3/5:
(5/3 * x) * (3/5) = (- 15/3) * (3/5)
This simplifies to:
1 * x = - (45/15)
Therefore, we have:
x = - (45/15)
To simplify the fraction, we divide both the numerator and denominator by their greatest common divisor (GCD), which is 15:
x = - (45/15) = - (3/1)
Hence, the solution to the equation is x = -3.
The equation 5/3 * x + 11/3 = - 4/3 is solved as follows Fill in the correct numbers to complete the solution (1 point)
5/3 * x + 11/3 = - 4/3
5/3 * x = Subtract 11/3 from both sides.
x = Multiply both sides by 3/5 the reciprocal of 5/2
1 answer