Question

solve each system by substitution
Please show how you got it and also how you found Y... Thanks :)
4x+2y=10
x-y=13

Answer 1

I would choose one of the equations to be substituted. I would pick the simplest or the x-y=13. I then would choose which variable I am going to substitute. I choose x as
x=y+13. Substitute for x in the first equation (4x+2y=10)
4(y+13) + 2y = 10
4y +52 +2y = 10
6y=10-52=-42
y=-7 We solved for y now substitute for y in either equation: (I choose the 2nd one)
x-(-7)=13
x+7=13
x=13-7=6