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
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