A pair of lines intersect at point (-3,4). Which pair of equations represents these Lines?

a) 2x + 3y = 6 & y = x - 7

b) 2x + 3y = 6 & y =-3x + 4

c) 2x + 3y = 6 & y= -5/3x - 1

d) 2x + 3y = 6 & y= 4/3x + 4

Option C

2x+3y=6 (1)

y = -5/3 * x -1

Multiplying by 3 and transposing x to the left side,

5x+3y = -3 (2)

2x+3y =6 (1)

Subtracting 2 from 1

-3x= 9

x=-3

-6+3y=6

3y =6+6=12

y =4

2x+3y = 6 and y = -5/3 * x-1 have the point of intersection (-3,4)

Hence the correct option is C

If you have any query, I will clarify.

I want your complete satisfaction and best rating for me.

Thank you very much. I did get that answer by plugging in the coordinates and solving all 4 equations until everything was equal. Thank you for verifying. I will take your explanation to explain to my child how to do it. Thank you again.

welcome.

Secure Information

Content will be erased after question is completed.

Enter the email address associated with your account, and we will email you a link to reset your password.

Forgot your password?

Sign Up