SOLUTION: Solve the system using the elimination method. Check your answer. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, enter INFINITELY MANY.) g =

Question 1018020: Solve the system using the elimination method. Check your answer. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, enter INFINITELY MANY.)
g = −0.1f + 6.9
f + 10g = 69
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
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.

RELATED QUESTIONS
Solve the system using elimination. (If there is no solution, enter NO SOLUTION. If there (answered by checkley79)

Solve the system using any method. (Simplify your answer completely. If the system is... (answered by MathLover1,MathTherapy)

Solve the system using any method. (Simplify your answer completely. If the system is... (answered by solver91311)

Solve the system using the elimination method. Check the solution by substituting into... (answered by Boreal,Theo)

Solve the system using the elimination method. Check the solution by substituting into... (answered by Alan3354)

Solve the system of equations by using the elimination method. (If the system is... (answered by josgarithmetic)

Solve the system of equations by using the elimination method. (If the system is... (answered by Alan3354)