what is the solution to this system of linear equations?\n2x + 3y = 3\n7x - 3y = 24\n(2, 7)\n(3, -21)\n(3…
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
Answer:
C. (3, -1)
Explanation:
Step1: Add the two equations
Add (2x + 3y=3) and (7x - 3y = 24). ((2x+3y)+(7x - 3y)=3 + 24) (2x+7x+3y-3y=27) (9x=27)
Step2: Solve for (x)
Divide both sides of (9x = 27) by 9. (x=\frac{27}{9}=3)
Step3: Substitute (x = 3) into the first - equation
Substitute (x = 3) into (2x+3y = 3). (2\times3+3y=3) (6 + 3y=3)
Step4: Solve for (y)
Subtract 6 from both sides: (3y=3 - 6=-3). Divide both sides by 3: (y=\frac{-3}{3}=-1). So the solution is ((3,-1)).