What is the solution of the equation 4/3x=−6/5 ?(1 point)blank
The solution of the equation 4/3x = -6/5 can be found by multiplying both sides of the equation by the reciprocal of 4/3, which is 3/4.
Here's the step-by-step solution:
(4/3)x = -6/5
Multiply both sides by 3/4:
(3/4)(4/3)x = (3/4)(-6/5)
1x = -18/20
Simplify the right side of the equation:
x = -9/10
Therefore, the solution to the equation 4/3x = -6/5 is x = -9/10.
To find the solution of the equation 4/3x = -6/5, we need to isolate the variable x.
First, let's multiply both sides of the equation by the reciprocal of 4/3, which is 3/4. This will cancel out the coefficient of x on the left side of the equation.
(4/3x) * (3/4) = (-6/5) * (3/4)
Simplifying this, we get:
x = (-18/20)
Now, we can simplify the fraction:
x = -9/10
So, the solution to the equation 4/3x = -6/5 is x = -9/10.
To find the solution to the equation 4/3x = -6/5, we will need to isolate the variable x.
Step 1: Multiply both sides of the equation by the reciprocal of the coefficient of x, which is 3/4. This will cancel out the coefficient on the left side of the equation.
(4/3x) * (3/4) = (-6/5) * (3/4)
x = (-6/5) * (3/4)
Step 2: Simplify the expression on the right side of the equation.
x = (-6/5) * (3/4) = -18/20
Step 3: Further simplify the fraction if possible.
To simplify the fraction -18/20, we divide both the numerator and denominator by their greatest common factor, which is 2.
x = (-18/2) / (20/2) = -9/10
Therefore, the solution to the equation 4/3x = -6/5 is x = -9/10.