Question

Please help me solve this:

Which of the following ordered pairs is a solution of the given system of linear equations? Explain your answer.

6x + 10y = 42
x - y = -1

a. (1, -1)

b. (-2, 3)

c. (2, 3)

d. (-2, 1)

Answer 1

you can do this simply by plugging in the given values and see if they fit
eg
a plug in x = 1 and y = -1 into each of the equations and see if they fit.

Answer 2

or you can solve the system by using the substitution or elimination method

Answer 3

Were I doing the work, I'd much prefer to solve this system of linear equations myself and then choose from the four possible answers.
Hint: Multiply the 2nd given equation by -6 and then combine the 1st and 2nd equations. Note that 6x and -6x will disappear.