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Question 2(Multiple Choice Worth 2 points)

(Systems of Linear Equations MC)

Which ordered pair is a solution to the system of linear equations?

x + 4y = 3
y = −4x − 3

(1, 1)
(1, −1)
(−1, 1)
(−1, −1)

1 Answer

3 votes

Final answer:

To find the solution to the system of linear equations, substitute the value of y from the second equation into the first equation, simplify the equation, and solve for x. Then substitute the value of x into one of the equations to find y. The solution to the system of linear equations is (-1, 1).

Step-by-step explanation:

To find the solution to the system of linear equations, we need to find the values of x and y that satisfy both equations. Let's substitute the value of y from the second equation into the first equation:

x + 4(-4x - 3) = 3

Simplifying the equation gives:

x - 16x - 12 = 3

Combining like terms:

-15x - 12 = 3

Adding 12 to both sides:

-15x = 15

Dividing both sides by -15:

x = -1

Now, substitute the value of x into one of the equations to find y:

y = -4(-1) - 3

Simplifying the equation gives:

y = 4 - 3

y = 1

Therefore, the solution to the system of linear equations is (-1, 1). Therefore, the correct answer is (1, 1).

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