Solve the simultaneous equations. 2x + y =10 and x + y = 4

We should eliminate one of the variables. We do this by writing them on top of one another.3x + y = 10x + y = 4 -
2x = 6 We want to know what X is and what Y is. We currently know what 2x is so we divide the answer by 2.
x = 3
To find out what y is, we substitute 3 into one of the equations.
x + y = 43 + y = 44 - 3 = yy = 1
We then use the other equation to check if we are correct.
3x + y = 10(3 x 3) + 1 = 109 + 1 = 10

GN

Related Maths GCSE answers

All answers ▸

How do I rearrange and make y the subject in equations such as "(y/4) - X = 1"?


A straight line runs through these two coordinates (1,5) and (4,7), find the equation of the line.


Write x^2 + 8x + 7 in the form (x + a)^2 + b


Solve the simultaneous equations to find x and y: 3x + 5y = 10 , 5x + 4y = 8