Does x=1.6 satisfy the equation 6-4x=-x/4? explain

Answer: plug 1.6 in for x to see if it is correct:
6- 4x= -x/4

6- 4(1.6)= -(1.6)/4        (divide -1.6 and 4)

6-4(1.6)= -0.4              (multiply 1.6 and -4)

6-6.4= -0.4                    (subtract 6 and 6.4)

-0.4=-0.4

-0.4 does equal -0.4. so that means that x does equal 1.6.

Substituting x=1.6 into the equation 6-4x=-x/4 doesn't result in an equality, hence, x=1.6 doesn't satisfy this equation.

Explanation:

To verify if x=1.6 satisfies the equation 6-4x=-x/4, we just need to substitute 1.6 in the place of x in the equation and check if both sides of the equation balance. The left side of the equation would then be: 6-4(1.6) = 0.4. The right side of the equation becomes: -1.6/4 = -0.4. As we can see the left side of the equation doesn't equal the right side, hence, x=1.6 doesn't satisfy the equation 6-4x=-x/4.

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