document.write( "Question 167834: hi, i need help how to solve the linear system by using eliminations....
\n" );
document.write( " 8x-4y=-76
\n" );
document.write( " 5x+2y=-16
\n" );
document.write( "people have tried to help me but i dont get it at all. \n" );
document.write( "
Algebra.Com's Answer #123731 by salvyb(3)![]() ![]() ![]() You can put this solution on YOUR website! 8x-4y=-76_5x+2y=-16\r \n" ); document.write( "\n" ); document.write( "Multiply each equation by the value that makes the coefficients of y equal. This value is found by dividing the least common multiple of the coefficients of y by the current coefficient. In this case, the least common multiple is 4. \n" ); document.write( "8x-4y=-76_2*(5x+2y=-16)\r \n" ); document.write( "\n" ); document.write( "Multiply each equation by the value that makes the coefficients of y equal. This value is found by dividing the least common multiple of the coefficients of y by the current coefficient. In this case, the least common multiple is 4. \n" ); document.write( "8x-4y=-76_2*(5x+2y)=2(-16)\r \n" ); document.write( "\n" ); document.write( "Multiply 2 by each term inside the parentheses. \n" ); document.write( "_2*(5x+2y)=-32\r \n" ); document.write( "\n" ); document.write( "Multiply 2 by each term inside the parentheses. \n" ); document.write( "_(10x+4y)=-32\r \n" ); document.write( "\n" ); document.write( "Remove the parentheses around the expression 10x+4y. \n" ); document.write( "_10x+4y=-32\r \n" ); document.write( "\n" ); document.write( "Add the two equations together to eliminate y from the system. \n" ); document.write( "10x+4y=-32_ 8x-4y=-76_18x =-108\r \n" ); document.write( "\n" ); document.write( "Divide each term in the equation by 18. \n" ); document.write( "x=-6\r \n" ); document.write( "\n" ); document.write( "Substitute the value found for x into the original equation to solve for y. \n" ); document.write( "8(-6)-4y=-76\r \n" ); document.write( "\n" ); document.write( "Multiply 8 by each term inside the parentheses. \n" ); document.write( "-48-4y=-76\r \n" ); document.write( "\n" ); document.write( "Move all terms not containing y to the right-hand side of the equation. \n" ); document.write( "-4y=-28\r \n" ); document.write( "\n" ); document.write( "Divide each term in the equation by -4. \n" ); document.write( "y=7\r \n" ); document.write( "\n" ); document.write( "This is the final solution to the independent system of equations. \n" ); document.write( "x=-6 \n" ); document.write( "y=7 \n" ); document.write( " |