Solve the following system of equations: ,

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Solve the following system of equations: 3x+2y=123x + 2y = 12, 5x−4y=75x - 4y = 7. The solution (x,y)(x, y) is: (a) (3922,3111)\left(\dfrac{39}{22},\dfrac{31}{11}\right) (b) (3111,−3922)\left(\dfrac{31}{11},-\dfrac{39}{22}\right) (c) (3111,3922)\left(\dfrac{31}{11},\dfrac{39}{22}\right) (d) (3111,7811)\left(\dfrac{31}{11},\dfrac{78}{11}\right)

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