Solve, using the substitution method. m + n = 5 m – n = 3

2 answers:

8 0

First rearrange the first equation and solve it for 'm':

m + n = 5

Subtract n to both sides:

m = -n + 5

Now plug in -n + 5 for 'm' in the 2nd equation:

-n + 5 - n = 3

Combine like terms:

-2n + 5 = 3

Subtract 5 to both sides:

-2n = -2

Divide -2 to both sides:

n = 1

Now we can plug this back into any of the two equations and solve for 'm':

m + n = 5

m + 1 = 5

Subtract 1 to both sides:

m = 4

So our full answer is (4, 1)

Kay [80]4 years ago

7 0

M + n = 5
m= n + 3

plug m=n+3 into the first equation.

(n+3)+n=5
n+n+3=5
2n+3=5
2n=2
n=1

You might be interested in

How to find the vertices of the hyperbole

torisob [31]

The answer is the second one

If you want a fast explanation

You have to remember that the minus sign indicates which direction the hyperbole will follow, if the minus is on x, that indicates the hyperbole will be vertical, and if the minus is in y, then it'll be horizontal

If you check the vertices points those indicates the length of 2a thus thatll be 6

To get the center just use middle point equation and you'll get (1,3)

Just to know, a indicates the distance from the center to the vertices, b indicates how wide the hyperbole box is, and c indicates the distance from center to focis

A=3

B=?

C=6

We use Pythagoras so

$b = \sqrt{(6) ^{2} - (3) ^{2} }$