Use the elimination method to solve the system of equations.
x + y = 7 2x + y = 11
x + y = 7
2x + y = 11  x = 4 {subtracted the two equations, eliminating the y} x = 4 {divided each side by 1} x + y = 7 {top original equation} 4 + y = 7 {substituted 4, in for x, into top original equation} y = 3 {subtracted 4 from each side} x = 4 and y = 3 (4,3) is the solution to the system of equation. This means the coordinates (4,3) are where the two lines intersect, when graphed, as shown below.
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