Solve the simultaneous equations; 2x + y = 18; x + 3y = 19.

Start by selecting a variable to eliminate from the equations. --> Select x in this case.Take the second equation and multiply by 2. --> 2x + 6y = 38Subtract the first equation from this answer. --> 5y = 20Divide through by 5. --> y = 4Substitute this back into the second equation to solve for x. --> x = 7Substitute both x = 7 and y = 4 into the first equation as a check. --> 2(7) + 4 = 18 --> 14 + 4 = 18. Correct

MA

Related Maths GCSE answers

All answers ▸

Make a the subject of a + 3 = (2a + 7) / r


Solve algebraically the simultaneous equations x^2 +y^2 = 25, y – 3x = 13


White paint costs £2.80 per litre. Blue paint costs £3.50 per litre. White paint and blue paint are mixed in the ratio 3 : 2 Work out the cost of 18 litres of the mixture.


y is inversely proportional to d2 when d = 10, y = 4 d is directly proportional to x2 when x = 2, d = 24 Find a formula for y in terms of x. Give your answer in its simplest form.