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 ▸

Solve 7(x+2)=5x+21


L is a line parallel to 4x-2y=8. Find the equation of the line if L passes through (4,(38/3))


Solve the simultaneous equations: 3a + 2b = 17 and 4a - b = 30


How to find the gradient of a line?