NOVELTY - The method comprises receiving a feed of carbon dioxide and methanol at a first region of an electrochemical cell (102) having a cathode, contacting the first region with a catholyte comprising carbon dioxide and methanol, receiving a feed of methanol at a second region of the electrochemical cell having an anode, contacting the second region with an anolyte comprising methanol, and applying an electrical potential between the anode and the cathode sufficient to produce the first product recoverable from the first region and the second product recoverable from the second region.    USE - The method is useful for producing a first product from a first region of an electrochemical cell having a cathode and a second product from a second region of the electrochemical cell having an anode, where the product includes carbon monoxide, formic acid, formaldehyde, methanol, oxalate, oxalic acid, glyoxylic acid, glycolic acid, glyoxal, glycolaldehyde, ethylene glycol, acetic acid, acetaldehyde, ethanol, ethylene, methane, ethane, lactic acid, propanoic acid, acetone, isopropanol, 1-propanol, 1,2-propylene glycol, propane, 1-butanol and 2-butanol and the second product includes formaldehyde, formic acid, acetaldehyde, acetic acid, glycolaldehyde, glyoxal, glycolic acid glyoxylic acid, oxalic acid, glyceraldehyde, dihydroxyacetone, 2,3 dihydroxypropionic acid, polyol-aldehyde, polyol-ketone, polyol-carboxylic acid, acetone, propionaldehyde, propanoic acid, butyraldehyde, butanoic acid, butanone, hydroquinone, 1,2-dihydroxybenzene, 2,5-cyclohexadiene-1-one, benzoquinone, maleic acid, benzaldehyde, benzoic acid, acrolein and acrylic acid (all claimed).    ADVANTAGE - The method is capable of simultaneously producing the first and second products with high selectivity and less consumption of electric voltage or current at high pressures.    DETAILED DESCRIPTION - The method comprises receiving a feed of carbon dioxide and methanol at a first region of an electrochemical cell (102) having a cathode, contacting the first region with a catholyte comprising carbon dioxide and methanol, receiving a feed of methanol at a second region of the electrochemical cell having an anode, contacting the second region with an anolyte comprising methanol, and applying an electrical potential between the anode and the cathode sufficient to produce the first product recoverable from the first region and the second product recoverable from the second region. The cathode and the anode are separated by an ion permeable barrier. The ion permeable barrier includes a polymeric or inorganic ceramic-based ion permeable barrier including a solid polymer conductor electrolyte material and a perfluorinated sulfonic acid based membrane, a sodium super-conducting ionic conductor type ceramics or zirconium-yttria and beta-alumina based ceramics. An INDEPENDENT CLAIM is included for a system for electrochemical co-production of products.    DESCRIPTION OF DRAWING(S) - The figure shows a block diagram of a system for electrochemical co-production of products.    Electrochemical cell (102)    Carbon based reactant source (104)    Carbon dioxide source (106)    First product extractor (110)    Second product extractor. (112)