How do you solve the system of equations y=34x4 and y=89x45?

1 Answer
Jun 11, 2018

(576295,748295)

Explanation:

Given: y=34x4 and y=89x45

Since the solution to the equation is the intersection point of the two lines, a point that that both lines share, set the two y-values equation and solve for x:

34x4=89x45

Get rid of fractions by multiplying the equation by the common denominator (LCM): 4×9×5=180

180(34x4=89x45)

135x720=160x144

Add 720 to both sides: 135x=160x+576

Subtract 160x to both sides: 295x=576

x=576295

Substitute x into either of the given equations to find y:

y=34(576295)4295295

y=4322951180295

y=748295

CHECK by substituting these values into the 2nd equation:

748295=89(576295)45

748295=512295455959

748295=512295236295

748295=748295 TRUE

Intersection point is (576295,748295)