Question

solve the system by equations. how many solutions does it have?y=-7/2x+117x+2y=20A. infinitely solutionsB. 1 solutionC. 2 solutionD. no solution

Answer 1

no solution (option D)

Step-by-step 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).