Question

new plato questions (help me?)

Answer 1

Define some variables and set up some equalities representing the situation.

Answer 2

l is length. w is width. a = area.

l+w = 18
a = l*w
a = 80, so
80 = l*w

Answer 3

sorry heres this one, i did that one alreay

Answer 4

If you have two equations and two unknown variables, the standard method is to pick a variable and an equation and then isolate the variable in that equation.

Once you've done that, substitute for that variable in the second equation and solve. This should give you a simple numeric answer for 1 variable. If you substitute for that variable in either of the original equations, you can solve for the second variable.

Answer 5

i dont get it :(

Answer 6

Okay, so applying that method to this second problem...

the variables are a and b.
"one integer is 5 less than another"
so a = b-5

"the product of the two integers is 24"
so a*b = 24

Answer 7

4*6?

Answer 8

Okay, so start by just picking one of your equation and solve it for one of the variables.

For example:
a = b-5
This one is already how we want it written. a is isolated on one side of the variable.

Now substitute b-5 for a in the other equation.
a*b = 24 and a = b-5,
so (b-5)*b = 24

Answer 9

So (b-5)*b = 24
b^2 - 5b =24
b^2 - 5b -24 = 0

Use the quadratic formula to solve for b.
Plug the answer into b in the equation a=b-5 to get the answer for a.