Solve these simultaneous equations and find the values of x and y. Equation 1: 2x + y = 7 Equation 2: 3x - y = 8

We have two reliable methods of solving this simultaneous equation. We can either eliminate the variables (x or y) directly, or make one of the variables the subject of the equation. I will show you how to eliminate the variables: 2x + y = 7 and 3x - y = 8. This reduces to 5x = 15. Therefore, x = 3. And putting back into one of the equations, we can see that y = 1.

QW

Related Maths GCSE answers

All answers ▸

Make 'a' the subject of the formula: p = (3a + 5) / (4 - a)


Solve the following simultaneous equations: 6j+4k=40; 7j-3k=-7


HIGHER TIER a) Factorise the following equation into two bracket form: 2x^2-5x-12. b)2x^2-5x-12=0. Solve this equation to find the values of x, using your answer to part a). BONUS c) Sketch the function y=2x^2-5x-12, showing any x intercepts


Jason and Mary leave their houses at the same time. They travel towards each other, Mary at 20km/h and Jason at 15km/h. They pass each other after an hour and a half. What was the original distance between them when they started?