Find the coordinates and the point of intersection between the lines 8x + 7y = 11 and y = 5x + 2

Substitute y = 5x + 2 into 8x + 7y = 11 to get, 8x + 7(5x + 2) = 11This simplifies down to 8x + 35x + 14 = 11And further simplifies to 43x = -3 giving the solution x = -3/43Substituting the x solution back into y = 5x + 2 gives, y = 5(-3/43) + 2 = -15/43 + 86/43 = 71/43
The two lines intersect at the point (-3/43, 71/43)

Answered by Adam R. Maths tutor

2198 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the pair of simultaneous equations {4x + y = 5, 3x - y = 2} using i) a graph and ii) an algebraic method


The perimeter of a right angled triangle is 72cm. The length of its sides are in the ratio 3:4:5. Work out the area of the triangle.


Expand and simplify: (2x+3)(x-8)


In a box, there is 1 more green pens than black pens. The probability of taking 2 black pens is 0.2 . How many pens are in the box?


We're here to help

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

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy
Cookie Preferences