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Solve using the substitution method. First, solve one equation for one variable.\r
\n" ); document.write( "\n" ); document.write( "s + t = - 4,
\n" ); document.write( "s - t = 2
\n" ); document.write( "
\n" ); document.write( "first we need to get single a single variable on one side of the equation, which is simpler in the second one.
\n" ); document.write( "subtract s from both sides and we get -t = 2-s
\n" ); document.write( "the we have to reverse the signs t = -2 + s so we have a positive value of T to substitue into the first equation. now we replace T in the first equation with -2+s
\n" ); document.write( "S + (-2 + S) = -4
\n" ); document.write( "-2 + 2s = -4
\n" ); document.write( "now we add 2 to each side to eliminate it single out the variable on the left side of the equation. (-2+2) + 2s = (-4+2)
\n" ); document.write( "2s = -2
\n" ); document.write( "now divide both sides by 2 to single out the variable on the left side of the equation. 2s/2 = -2/2
\n" ); document.write( "s = -1 Now that we haw a value for s we can check our work by substituting it into the original equations to see if it is true.
\n" ); document.write( "-1 + t = -4
\n" ); document.write( "t = -3
\n" ); document.write( "-1 + -3 = -4 True\r
\n" ); document.write( "\n" ); document.write( "S - T = 2
\n" ); document.write( "-1 - -3 = 2
\n" ); document.write( "-1 + 3 = 2 True
\n" ); document.write( "Hope this helps. \n" ); document.write( "