Solve this pair of simultaneous equations: 3x + 2y = 4 and 2x + y = 3

2x + y = 3   therefore  y = 3 - 2x

Substitute y = 3 - 2x in to the first equation:

3x + 2(3 - 2x) = 4

3x + 6 - 4x = 4

-x = -2   therefore x = 2

Substitute x = 2 in to either equation:

2(2) + y = 3

4 + y = 3

y = -1

TC

Related Maths GCSE answers

All answers ▸

Work out the increase in price from £1.50 to £2.00 as a percentage.


If 5x + 3y = 27 and 6x - 2y = 10, find x and y


In a competition, a prize is won every 2014 seconds. Work out an estimate for the number of prizes won in 24 hours. You must show your working. (4 marks)


Given 4x+7y=25 and 2x+5y=17, identify x and y by solving the simultaneous equations