Solve this pair of simultaneous equations to find x and y

(1) 2x - 5y = 11(2) 3x + 2y = 7-----------------------Multiply equation (1) by 3 & Multiply equation (2) by 2 to give equal values for x:(3) 6x - 15y = 33(4) 6x + 4y = 14-----------------------Take equation (4) away from equation (3) in order to eliminate the x value:-15y - 4y = 33 - 14-19y = 19y = -1-----------------------Subsitute back in to equation (1) or (2) to find the value of x:(1) 2x - 5y = 11   2x - 5(-1) = 11   2x + 5 = 11   2x = 6   x = 3-----------------------Check!(2) 3x + 2y = 7   3(3) + 2(-1) = 7   9 + (-2) = 7   9 - 2 = 7

JB
Answered by James B. Maths tutor

4516 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

The point P has coordinates (3, 4) The point Q has coordinates (a, b) A line perpendicular to PQ is given by the equation 3x + 2y = 7 Find an expression for b in terms of a.


How do I know when to use the cosine or sine rule?


Show that (x + 1)(x + 2)(x + 3) can be written in the form ax3 + bx2 + cx + d where a, b, c and d are positive integers.


Express 5/(2-sqrt(3)) in the form a + b*sqrt(3)


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning