what is the solution to this system of linear equations?\nx - 3y = -2\nx + 3y = 16\n(7, 3)\n(3, 7)\n(-2…
what is the solution to this system of linear equations?\nx - 3y = -2\nx + 3y = 16\n(7, 3)\n(3, 7)\n(-2, -3)\n(-3, -2)
Answer
Explanation:
Step1: Add the two equations.
Adding $x - 3y=-2$ and $x + 3y = 16$: $$(x - 3y)+(x + 3y)=-2 + 16$$ $$x - 3y+x + 3y=14$$ $$2x=14$$
Step2: Solve for x.
Dividing both sides of $2x = 14$ by 2: $x=\frac{14}{2}=7$
Step3: Substitute x into an equation.
Substitute $x = 7$ into $x+3y = 16$: $7+3y=16$
Step4: Solve for y.
Subtract 7 from both sides: $3y=16 - 7=9$ Divide both sides by 3: $y=\frac{9}{3}=3$
Answer:
A. $(7,3)$