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

Explanation:

Step1: Add the two equations

Adding $2x + 3y=3$ and $7x - 3y = 24$ eliminates $y$. $(2x+3y)+(7x - 3y)=3 + 24$ $2x+7x+3y-3y=27$ $9x=27$

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

Answer:

C. $(3, - 1)$