Use the substitution method to solve the system. {m+n=5m−n=3 what is the solution? the solution is (4, 1). there is no solution. there are an infinite number of solutions. the solution is (2, −1).

The value of m and n is 4 and 1. The solution is (4,1). Option A is correct.

The given system of equations is,

It is required to solve the equations using the substitution method.

So, use the first equation to get the value of n and substitute it in the second equation as,

Therefore, the value of m and n is 4 and 1. The solution is (4,1). Option A is correct.

For more details, refer to the link:

link

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.