what is the solution to this system of linear equations?\nx + y = 4\nx - y = 6\n(4, 6)\n(6, 4)\n(5…

Explanation:

Step1: Add the two equations

Adding $x + y=4$ and $x - y=6$ eliminates $y$. $(x + y)+(x - y)=4 + 6$ $2x=10$

Step2: Solve for $x$

Divide both sides of $2x = 10$ by 2. $x=\frac{10}{2}=5$

Step3: Substitute $x$ into the first - equation

Substitute $x = 5$ into $x + y=4$. $5 + y=4$

Step4: Solve for $y$

Subtract 5 from both sides. $y=4 - 5=-1$

Answer:

C. $(5, - 1)$