Question

Solve the following proportion by cross multiplying:
( x - 3 ) / 4 = ( 2x + 2 ) / 6

Answer 1

`\implies \: \sf{ (x \: - \: 3)/(4) \: = \: (2x \: + \: 2)/(6) } \\ \\ \implies \: \sf{6( x \: - \: 3) \: = \:4(2x \: + \: 2)} \: \\ \\ \implies \: \sf{6 * ( x \: - \: 3) \: = \: (2x \: + \: 2)}\\ \\ \implies \: \sf{6x \: - \: 18 \: = \:8x \: + \: 8}\\ \\ \implies \sf{6x \: - \: 8x \: = \:18\: + \: 8}\\ \\ \implies \sf{ - 2x \: = \:18\: + \: 8}\\ \\ \implies \sf{ - 2x \: = \: 26}\\ \\ \implies \sf{ - x \: = \: (26)/(2) }\\ \\ \implies \sf{ - x \: = \: \cancel{(26)/(2) }}\\ \\ \implies \sf{ - x \: = \: 13}\\ \\ \implies \red{\bf{ x \: = \: - 13}}`

Answer 2

- 13

Explanation:

Solving

`((x - 3))/(4) = ((2x + 2))/(6) \\ \\ cross \: multiplying \\ 6 * (x - 3) = 4 * (2x + 2) \\ 6x - 18 = 8x + 8 \\ 6x - 8x = 8 + 18 \\ - 2x = 26 \\ dividing \: bothsides \: by \: - 2 \\ ( - 2x)/( - 2) = (26)/( - 2) \\ x = - 13`