At Silver Gym, membership is $25 per month, and personal training sessions are $45 each. At Fit Factor, membership is $85 per month, and personal training sessions are $35 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?

6 training sessions.

Step-by-step explanation:

Let there be x training sessions at both the gyms.

At silver gym,

Total cost = membership + personal training session

= 25+45x ...(1)

At Fit Factor,

Total cost = 85+35x (2)

If the total cost at the two gyms equal,

25+45x=85+35x

Taking like terms together,

45x-35x=85-25

10x=60

x = 6

Hence, Sarah must buy 6 training sessions.

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )

solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system