How do you do simultaneous equations ? ?

5x + 2y = 22
10x + 9y = 59
so now we need to either eliminate the y or the x and we need to multiply both numbers by something so that they will be the same and we can add or minus them.
so here I will eliminate x because it's easier

we multiply the top equation by 2 and the bottom equation by 1 and we get

10x + 4y = 44
10x + 9y = 59

so now we can see that the number of x's are the same and we can just find the DIFFERENCE between the two equations if it was -10x and 10x we would ADD

= 5y = 15
notice that the x'a have cancelled each other out

now we divide both sides by 5 so
y=3

now we have y, we need to substitute it into one of the original equations, doesn't matter which one. I'm going to do the first one.

5x + 2y = 22
5x + 2(3)=22
5x + 6 = 22
now minus 6 from both sides
5x = 16
divide both sides by 5
x = 3.2

we have our answers but to be sure we need to just substitute the values for x and y into BOTH original equations.

5x + 2y = 22
= 16 + 6 = 22

10x + 9y = 59
= 32 + 27 =59

Tadaa!! and there you have it
y = 3
x = 3.2

hope this helped :)

The answer is y=3 and the x=3.2 hope I helped