Find the solution of this system of equations. separate the x and y values with a comma x+12y=7 x-y=7

Solve Systems of Equations:

x + 12y = 7; x - y = 7 > x = 7, and y = 0

Step 1: I will try to solve your System of Equation:

x + 12y = 7; x - y = 7

Solve:

x + 12y = 7x for x:

x + 12y + -12y = 7 + -12y (Add --12y both sides):

x = -12y + 7

Substitute:

-12y + 7 for x in x - y = 7

x - y = 7

-12y + 7 - y = 7

-13y + 7 = 7 (Simplify both sides):

-13y + 7 + -7 = 7 + -7 (Add -7 both sides):

-13y = 0

-13y / -13 = 0 / -13 (Divide both sides by -13):

y = 0

Substitute:

0 for y in x = -12y + 7

x = -12y + 7

x = ( -12 )(0 ) + 7

x = 7 (Simplify both sides of Equations:):

Therefore, Answers, x = 7, and y = 0

Hope that helps: : )

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: