Answered

IDNLearn.com provides a user-friendly platform for finding answers to your questions. Discover prompt and accurate answers from our experts, ensuring you get the information you need quickly.

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

Sagot :

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).

Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to assisting you again.