Question

Which is a correct step to solve the equation 1=−4+3/8x

A.4(1)=4(−4+3/8x)

B.1=8(−4+3/8x)

C.8(1)=8(−4+3/8x)

D.3(1)=3(−4+3/8x

Can someone please help me

Answer 1

C. 8(1)=8(−4+3/8x)

Explanation:

Given equation

1=−4+3/8x

in this equation in denominator we have 8x,

since we are solving for x we cannot eliminate it, but we have to eliminate 8 in denominator, so that there only numerator in equation and solving process becomes easier.

To eliminate 8,we need to multiply both side by 8, so as to balance the equation and also 8 from denominator gets cancelled in RHS.

1=−4+3/8x

multiply both side by 8

8(1)=8(−4+3/8x)

Thus, option c is correct one

8(1)=8(−4+3/8x)

solving it

8 = -32 + 3/x

adding both side 32

8+32 = -32 + 3/x -32

=> 40 = 3/x

=> x = 3/40