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 ▸

Factorise x^2 - 6x + 9 = 0


What is the cosine rule?


Rearrange the equation y = 3(x+1)/4, making x the subject.


Anna has 4 cakes. Three of them are squares with sides of length x, and one is rectangular and measures 2 by (3x+2). The total area of all the cakes is 13. What is the length of x?