Find the point of intersection of the lines with the given equations. 5x + 2y = -11 and 4x + 3y = -6 To find the point of intersection of the two lines, solve the two equations simultaneously for x and y, by either using the addition or substitution method. Using the addition method: 5x + 2y = -11 -----> -15x - 6y = 33 {multiplied top equation by -3} 4x + 3y = -6 --------> 8x + 6y = -12 {multiplied bottom equation by 2} -7x = 21 {added the two new equations together} x = -3 {divided both sides by -7} 5x + 2y = -11 {top equation} 5(-3) + 2y = -11 {substituted -3, in for x, into top equation} -15 + 2y = -11 {multiplied 5 by -3} 2y = 4 {added 15 to both sides} y = 2 {divided both sides by 2} x = -3 and y = 2 (-3,2) is the point of intersection © Algebra House
0 Comments
Your comment will be posted after it is approved.
Leave a Reply. |
Examples
All
|