This week in math 10 we learned about intro to systems solving using graphing
for this we would use the y=m+b equation, we will also have two of these,
for example
x- 4= y and y=3x-8
for this you want to start with what is easier, in this case it would be x-4=y, so what we would need to do is isolate x because it is already positive
so we add four on both side, the -4 and +4 cancel each other out so it is no longer there
x= y+4
now we have solved for x we have to solve for y, now we insert the x into wherever there is x in the other equation,
y=3(y+4)-8
from there we solve using BEDMAS
y=3y+12-8
from here we add like terms
-2y=4
now we divide everything by -2 to isolate the y which leaves us with
y=-2
from here we would put in y wherever y is to complete solving x
x- 4= -2
we need to isolate x so we add 4 on each side which leaves us with
x=-2+4
add like terms
x=2
now to verify we insert x and y into the original equations to see if we were correct
2-4=-2
the first one is true
-2=3(2)-8
-2=6-8
-2=-2
it is true for the second equation