Solve
7x + 4y = 17 3x  2y = 15 using the elimination method.
To use the elimination method, you need to get the coefficients of one of the variables to be the same, only with one being positive and one being negative, preferably.
7x + 4y = 17 3x  2y = 15 7x + 4y = 17 {top equation stays the same} 6x  4y = 30 {multiplied bottom equation by 2} ——————— 13x = 13 {added the two equations together} x = 1 {divided each side by 13} To solve for y, substitute 1, in for x, into one of the two equations. 7x + 4y = 17 {top equation} 7(1) + 4y = 17 {substituted 1, in for x, into top equation} 7 + 4y = 17 {multiplied 7 by 1} 4y = 24 {added 7 to each side} y = 6 {divided each side by 4} x = 1 and y = 6 (1,6) is the point of intersection of the two lines Ask Algebra House
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