document.write( "Question 500768: how do you find the ordered pair in the following system of equations:
\n" ); document.write( "2x+7y=-7
\n" ); document.write( "-4x-3y=-19 \n" ); document.write( "

Algebra.Com's Answer #338271 by oberobic(2304) $\"\"$ $\"About$

You can put this solution on YOUR website!
2x +7y = -7
\n" ); document.write( "-4x -3y = -19
\n" ); document.write( ".
\n" ); document.write( "multiply the first equation by 2
\n" ); document.write( "then add
\n" ); document.write( ".
\n" ); document.write( "4x +14y = -14
\n" ); document.write( "-4x -3y = -19
\n" ); document.write( "-------------
\n" ); document.write( "0x +11y = -33
\n" ); document.write( ".
\n" ); document.write( "11y = -33
\n" ); document.write( "y = -3
\n" ); document.write( ".
\n" ); document.write( "substitute to find 'x'
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\n" ); document.write( "2x + 7(-3) = -7
\n" ); document.write( "2x -21 = -7
\n" ); document.write( "2x = 14
\n" ); document.write( "x = 7
\n" ); document.write( ".
\n" ); document.write( "Always check your answer.
\n" ); document.write( "Substitute into the other equation.
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\n" ); document.write( "-4(7) -3(-3) = ??
\n" ); document.write( "-28 + 9 = -19
\n" ); document.write( "Correct.
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\n" ); document.write( "Answer: (7,-3)
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\n" ); document.write( "If you were to graph these equations, they would intersect there.
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\n" ); document.write( "Graph
\n" ); document.write( " $\"graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C-2%2F7%2Ax-1%2C-4%2F3%2Ax%2B19%2F3%29\"$
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