what is the solution to this system of linear equations?\n2x + 3y = 3\n7x - 3y = 24\n○ (2, 7)\n○ (3, -21)\n○…
what is the solution to this system of linear equations?\n2x + 3y = 3\n7x - 3y = 24\n○ (2, 7)\n○ (3, -21)\n○ (3, -1)\n○ (9, 0)
Answer
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)