document.write( "Question 824658: Find the equation of the line which passes through the point of intersection of 5x-3y+2=0 and x+3y+1=0 and is parrallel to 2x+3y+3=0. pleasseee answer \n" ); document.write( "
Algebra.Com's Answer #496641 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! --- \n" ); document.write( "5x-3y+2=0 \n" ); document.write( "x+3y+1=0 \n" ); document.write( "--- \n" ); document.write( "put the system of linear equations into standard form \n" ); document.write( "--- \n" ); document.write( "5x - 3y = -2 \n" ); document.write( "x + 3y = -1 \n" ); document.write( "--- \n" ); document.write( "copy and paste the above standard form linear equations in to this solver: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( "--- \n" ); document.write( "point of intersection: \n" ); document.write( "x= -0.5 = -1/2 \n" ); document.write( "y= -0.1666666 = -1/6 \n" ); document.write( "--- \n" ); document.write( "(given) our new line is parallel to: \n" ); document.write( "2x + 3y + 3 = 0 \n" ); document.write( "in slope intercept form: \n" ); document.write( "3y = -2x - 3 \n" ); document.write( "y = (-2/3)x - 1 \n" ); document.write( "--- \n" ); document.write( "slope of our new parallel line = -2/3 = -0.666666 \n" ); document.write( "--- \n" ); document.write( "to solve the linear equation, copy and paste this (the point of intersection and the parallel slope): \n" ); document.write( "-0.5, -0.1666666, -0.666666 \n" ); document.write( "into the \"Point-Slope form: x1 y1 m\" input box here: https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "x-intercept = (-0.75, 0) \n" ); document.write( "y-intercept = (0, -0.5) \n" ); document.write( "slope = -0.666666 \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "the slope-intercept form of our new line: \n" ); document.write( "y = (-0.666666)x - 0.5 \n" ); document.write( "y = (-2/3)x - 1/2 \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( " |