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We have two equations and two variables, which means that we can probably solve this problem.
\n" ); document.write( "First, we will find y in terms of x. We will use the first equation to determine this.
\n" ); document.write( "4x+2y=2
\n" ); document.write( "We can subtract 4x from both sides:
\n" ); document.write( "2y=2-4x
\n" ); document.write( "And then divide both sides of the equation by two:
\n" ); document.write( "y=1-2x
\n" ); document.write( "Since we now have y in terms of x, we can substitute this into our second equation.
\n" ); document.write( "-3x-y=-3
\n" ); document.write( "-3x-(1-2x)=-3
\n" ); document.write( "Then, we can distribute the minus sign
\n" ); document.write( "-3x-1+2x=-3
\n" ); document.write( "-x-1=-3
\n" ); document.write( "Next, we can add 1 to both sides of the equation.
\n" ); document.write( "-x=-2
\n" ); document.write( "Finally, we divide both sides by negative one to isolate x.
\n" ); document.write( "x=2
\n" ); document.write( "Now that we have x's value, we can find y's value.
\n" ); document.write( "The first thing that we determined is:
\n" ); document.write( "y=1-2x
\n" ); document.write( "We can substitute in the value of x to this equation.
\n" ); document.write( "y=1-2x
\n" ); document.write( "
\n" ); document.write( "y=1-4
\n" ); document.write( "y=-3
\n" ); document.write( "Therefore, we now have the values of both variables.
\n" ); document.write( "x=2
\n" ); document.write( "y=-3
\n" ); document.write( " \n" ); document.write( "