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Solve the system

{4x − 10y = 4
−6x + 15y = −6

a. x=2, y=5
b. (2, 2x-2/5)
c. x=3, y=2
d. all real solutions
e. x=1, y=2

1 Answer

2 votes

Both of the equations have common factors that can be factored out simplifying them.

4x − 10y = 4 --------> divide both sides by 2

−6x + 15y = −6 --------> divide both sides by -3

After taking out the common factors, the equations become:

2x - 5y = 2

2x - 5y = 2

They are both the same equation, so the solution is all real solutions of the equation.

Answer: d. all real solutions

User Jacob Penney
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