Solve the simultaneous equations: 2x - y = 1, 3x + y = 14

Make y the subject of equation 1:y = 2x - 1Substitute this value of y into equation 2:3x + (2x - 1) = 14Simplify:5x - 1 = 14Solve for x:x = 3Substitute this value of x into original equation:2(3) - y = 1Simplify and solve for y:6 - y = 1y = 6 - 1y = 5

SB

Related Maths GCSE answers

All answers ▸

Solve the equation 3x^2 +17x -6 = 0 without using a calculator


√ 5(√ 8 + √ 2) Can be written as "a√ 10". What is the value of a?


A linear sequence starts with: a + 2b ; a + 6b ; a + 10b etc. The 2nd term has value 8. The 5th term has value 44. Work out the values of a and b.


a) Find the area of a semi circle with diameter 12cm. b) The area of a semi-circle is 60cm^2. Find the radius of the sem-circle.