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no solution (option D)
Explanation:y = -7/2x + 11
multiply through by 2:
2y = -7x + 22
2y + 7x = 22 ....equation 1
7x+2y=20
2y + 7x = 20 .....equation 2
Using elimination method:
We want to eliminate y, so we ensure the coefficient of y in both equations are the same.
2y + 7x = 22 ....equation 1
2y + 7x = 20 .....equation 2
subtract equation 2 from 1:
2y - 2y + 7x -7x = 22 - 20
0 + 0 = 22
0 = 22
Since 0 (left hand side) is not equal to 22 (right hand side), we say the system of equations has no solution (option D).