Determine which equation is an identity or whether it has no solution.

-8x+14 =-2(4x-7)

Question

Determine which equation is an identity or whether it has no solution.

-8x+14 =-2(4x-7)

ranga · Answer

Distribute the right hand side and compare it to the left hand side.

selena2345 · Answer

can u show me the work please ? @ranga

selena2345 · Answer

Can u show me the work @ranga

ranga · Answer

-8x+14 =-2(4x-7)
             = -2 * 4x + (-2) * (-7)
             = -8x + 14
The left hand side and right hand side are identical and therefore this equation is an identity.  It does not have a UNIQUE solution.  But it has infinite number of solution.  You can choose any value for x and then solve for y.