solve using multiplication principle.
-2/7x=6/35
I assume x is in the denominator because you did not use a parenthesis
multiply both sides by (35*x)
(-2 * 35*x) /(7x) = (6*35*x)/35
-2*5 = 6 x
x = -5/3
If you mean x to be in the numerator then
multiply by 35
(2*35/7) x = (6*35)/35
2*5 x = 6
x = 3/5
To solve the equation using the multiplication principle, we need to isolate the variable x on one side of the equation. Here are the steps to follow:
Step 1: Multiply both sides of the equation by the reciprocal of the coefficient of x. In this case, the reciprocal of -2/7 is -7/2, so multiply both sides by -7/2.
(-2/7)x * (-7/2) = (6/35) * (-7/2)
Simplifying this, -2/7 and -7/2 cancel out, so we have:
x = (6/35) * (-7/2)
Step 2: Compute the multiplication on the right-hand side of the equation:
x = -42/70
Step 3: Simplify the fraction on the right-hand side by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of -42 and 70 is 14:
x = -3/5
So, the solution to the equation is x = -3/5.