document.write( "Question 471925: Complete the ordered pair for the equation y=-10x+18 (_, 78) \n" ); document.write( "
Algebra.Com's Answer #323607 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! The ordered pair consists of a value for x along with its corresponding value of y such that when those two values are substituted into the equation the left side of the equation equals the right side. \n" ); document.write( ". \n" ); document.write( "The equation you are given is: \n" ); document.write( ". \n" ); document.write( "y = -10x + 18 \n" ); document.write( ". \n" ); document.write( "You are also told that the value of y in the ordered pair is 78. Substitute that value into the equation and solve for the corresponding value of x. Substituting 78 for y results in the equation becoming: \n" ); document.write( ". \n" ); document.write( "78 = -10x + 18 \n" ); document.write( ". \n" ); document.write( "Get rid of the 18 on the right side by subtracting 18 from both sides and you have: \n" ); document.write( ". \n" ); document.write( "60 = -10x \n" ); document.write( ". \n" ); document.write( "Solve for x by dividing both sides by -10 and the result is: \n" ); document.write( ". \n" ); document.write( "-6 = x \n" ); document.write( ". \n" ); document.write( "So now you can say that the ordered pair that makes the equation true is (-6,78). \n" ); document.write( ". \n" ); document.write( "You can check this by returning to the original equation of: \n" ); document.write( ". \n" ); document.write( "y = -10x +18 \n" ); document.write( ". \n" ); document.write( "and substitute -6 for x and 78 for y to get: \n" ); document.write( ". \n" ); document.write( "78 = -10*(-6) + 18 \n" ); document.write( ". \n" ); document.write( "Do the multiplication on the right side (the minus 10 times minus 6) to get: \n" ); document.write( ". \n" ); document.write( "78 = 60 + 18 \n" ); document.write( ". \n" ); document.write( "And the addition on the right side results in: \n" ); document.write( ". \n" ); document.write( "78 = 78 \n" ); document.write( ". \n" ); document.write( "This means that the ordered pair (-6, 78) makes the equation true (equal on both sides) and is therefore the answer you need. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand the problem. \n" ); document.write( " \n" ); document.write( " |