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

what is the solution to this system of linear equations?\n$x + y = 4$\n$x - y = 6$\n(4, 6)\n(6, 4)\n(5, -1)\n(-1, 5)

what is the solution to this system of linear equations?\n$x + y = 4$\n$x - y = 6$\n(4, 6)\n(6, 4)\n(5, -1)\n(-1, 5)

Answer

Answer:

C. (5, -1)

Explanation:

Step1: Add the two equations

$(x + y)+(x - y)=4 + 6$ $2x=10$

Step2: Solve for x

$x=\frac{10}{2}=5$

Step3: Substitute x into first - equation

$5 + y=4$

Step4: Solve for y

$y=4 - 5=-1$ So the solution is (5, -1).