Question

what is the solution to this system of linear equations?
2x + 3y = 3
7x - 3y = 24
○ (2, 7)
○ (3, -21)
○ (3, -1)
○ (9, 0)

Explanation:

Step1: Add the two equations

$$(2x + 3y) + (7x - 3y) = 3 + 24$$
$$9x = 27$$

Step2: Solve for x

$$x = \frac{27}{9} = 3$$

Step3: Substitute x=3 into first equation

$$2(3) + 3y = 3$$
$$6 + 3y = 3$$

Step4: Solve for y

$$3y = 3 - 6 = -3$$
$$y = \frac{-3}{3} = -1$$

Answer:

(3, -1)