Question

How many solutions does the system have 5y=15x-40 y=3x-8

Answer 1

infinite solutions

Explanation:

Given the 2 equations

5y = 15x - 40 → (1)

y = 3x - 8 → (2)

Substitute y = 3x - 8 into (1)

5(3x - 8) = 15x - 40 ← distribute left side

15x - 40 = 15x - 40

Since both sides have the same expression then any value of x will make the equation true.

Thus there are an infinite number of solutions

Answer 2

infinity many solutions

Explanation:

-5y=-15x+40;y=3x-8 Infinitely many solutions System of Linear Equations entered : [1] -5y + 15x = 40 [2] y - 3x = -8 Solve by Substitution :

// Solve equation [2] for the variable y

[2] y = 3x - 8

// Plug this in for variable y in equation [1]

[1] -5•(3x-8) + 15x = 40 [1] 0 = 0 => Infinitely many solutions