Two simultaneous equations are given as 2x + y = 5 and 3x + y = 7. Find the value of x and y.

The unknowns of x and y are the same in each equation, allowing us to combine the two in order to find out their values.The substitution method can be used in most cases if the coefficient is the same with x or y(coefficient = the amount the letter has been multiplied by)The coefficient of y in each equation = 1 so we can use this method2x + 1y = 53x + 1y = 7subtract equation 1 from 2 to find xx = 2then place this value into either equation to find y(2x2) + y = 54 + y = 5y = 1Answer: x = 2y = 1

MH

Related Maths GCSE answers

All answers ▸

Find the highest common factor of 432 and 522


A circular table top has diameter 140 cm. Calculate the area of the table top in cm² , giving your answer as a multiple of π.


Find the value of X in the equation X^2 + 9X - 22 = 0


solve the simultaneous equation x^2 + 2y = 9 , y - x = 3