Find the coordinates of the point of intersection of the lines 2x + 3y = 12 and y = 7 - 3x.

We can substitute the equation for y into 2x + 3y = 12.
If y = 7-3x , 2x + 3(7-3x) = 12 2x + 21-9x = 12
Now we can solve for x -7x = =-9x = 9/7
To get y, we must sub x back into y = 7 - 3x, to get the y co-ordinate.
y = 7-3(9/7) y = 7 - 27/7 y = 49/7 - 27/7 y = 22/7
(9/7, 22/7) is our intersection.

Answered by Chrystine A. Maths tutor

7377 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Rearrange the following making a the subject: (a+2)/5 = 3a+b


Solve the simultaneous equations: 3x + 2y = 4 and 4x + 5y = 17


A triangle has sides of 4cm and 5cm with the hypotenuse unknown. What is the length of the unknown side?


What does it mean to solve an equation for x?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences