Solve the simultaneous equations: 6x + 2y = -3, 4x - 3y = 11

(1)   6x + 2y = -3

(2)   4x - 3y = 11

Multiply by 3 so that the coefficients of y are the same

3 x (1)    18x + 6y = -9

3 x (2)    8x - 6y = 22

Add these 2 together to eliminate y

26x = 13

Divide by 26 to get x

x = 1/2 

Substitute x = 1/2 into equation (1)

6(1/2) + 2y = -3

3 + 2y = -3

2y = -6

y = -3

DH

Related Maths GCSE answers

All answers ▸

How would you solve the simultaneous equations y=x+1 and y=4x-2


A pen is the shape of an equilateral triangle. A goat is attached to a corner of the pen on a rope. The goat eats all the grass it can reach. It can just reach the opposite fence of the pen. What percentage of the grass in the pen does the goat eat?


In an office there are twice as many females as males. 1/4 of the females wear glasses. 3/8 of the males wear glasses. 84 people in the office wear glasses. Work out the number of people in the office.


I can't figure out this question to do with VAT. VAT is charged at 20%. A TV is for sale for £650 inc. VAT in Good Electronics and the same TV is for sale £495 exc. VAT in Wright's Electricals, where is it cheaper?