Question 1018020
i believe this will give you an infinited number of solutions.


your two equations are g = -.1f + 6.9 and f + 10g = 69


take the first equation and put it in a similar form to the second equation as follows:


start with g = -.1f + 6.9
add .1f to both sides of the equation to get .1f + g = 6.9
multiply both sides of this equation by 10 to get f + 10g = 69


your two equations are identical.


the first equation is f + 10g = 69
your second equation is f + 10g = 69


this means you have an infinite number of solutions.


you could also have put both equations in y = mx + b form.
this form is the slope intercept form of the equation of a straight line.
m is the slope and b is the y-intercept.


if the slope is the same and the y-intercept is different, then the lines are parallel and there is no common solution.


if the slope is the same and the y-intercept is the same, then the lines are identical and there is an infinite number of solutions.


you can leave g = -.1f + 6.9 as is, since it is already in y = mx + b form.


start with f + 10g = 69
subtract f from both sides of this equation to get 10g = -f + 69
divide both sides of this equation by 10 to get g = -.1f + 6.9


the equations are identical because their slopes are the same and their y-intercepts are the same.


this means there is an infinite number of solutions that will solve both equations simultaneously.