Question

Solve the simultaneous equations 3x + 2y = 16

. 2x + y = 9

Answer 1

From

3x + 2y = 16

2x + y = 9

solve the second equation for y and substitute it into the first equation...

y = -2x + 9

then

3x + 2(-2x + 9) = 16

3x - 4x + 18 = 16

-x = -2

x = 2

then

y = -2(2) + 9

y = 5