Answer: Your Equation:7.5x+5=T
Other Company Equation: 7.52]x+20=T
Solution: ([x-value],[y-value])
I used [pick one: elimination, graphing, substitution] because [reason why]
Your Equation:7.5x+5=T
Other Company Equation: 7.52]x+20=T
Solution: ([x-value],[y-value])
I used [pick one: elimination, graphing, substitution] because [reason why]
To solve the system of equations, we need to determine the value of x that satisfies both equations.
I would use elimination to solve this system of equations because it involves coefficients that are multiples of each other (7.5 and 7.52) and would lead to easy cancellation.
To eliminate the variable T, we can multiply both sides of the first equation by 7.52 and the second equation by 7.5 to make the coefficients of T the same.
7.52 * (7.5x + 5) = 7.5 * (7.52x + 20)
56.34x + 37.6 = 56.4x + 150
Next, we can move the variables to one side and constants to the other side:
56.34x - 56.4x = 150 - 37.6
-0.06x = 112.4
Lastly, we can isolate x by dividing both sides of the equation by -0.06:
x = 112.4 / -0.06
x ≈ -1873.33
To find the corresponding value of T, we can substitute the value of x into either of the original equations. Let's use the first equation:
7.5(-1873.33) + 5 = T
T ≈ -14002.5 + 5
T ≈ -13997.5
Therefore, the solution to the system of equations is approximately (-1873.33, -13997.5).