Solve the following simultaneous equations: 3x + 2y = 16 2x + 3y = 14

Answer: x = 4, y = 2

Method: Eq 1) 3x + 2y = 16 Eq 2) 2x + 3y =14

             Eq 1 x 2) 6x + 4y = 32 Eq 2 x 3) 6x + 9y = 42

            New Eq 2 - New Eq 1) 5y = 10, so y = 2

             Sub y into Eq 1) 3x + 4 = 16, 3x = 12, so x = 4

 

EO

Related Maths GCSE answers

All answers ▸

Factorise 3xy+6x^2


Expand and simplify (x − 4)(2x + 3y)^2


How can you add and subtract fractions with surds in them?


Find the roots of the following curve: y = 6x^2 - 4x.