Write the equation y=-1/2x+3 in standard form. how do I do this?

2 answers:

8 0

Hello.

The standard form is Ax + By = C, where A, B, and C are real numbers, and A is a positive integer.

Here are the steps:

(2)y = (-1/2x + 3)(2) -- you want to get rid of the fraction
2y = -x + 6 -- add x to both sides
+ x + x
x + 2y = 6 -- this follows standard form

x + 2y = 6 can be simplified even further to: x/2 + y = 3.
Both these equations are correct graph-wise,

I would use x/2 + y = 3 rather than x + 2y = 6.

Hopefully this makes sense. :)

Lapatulllka [165]2 years ago

7 0

Standard form is ax + by = c. Begin our transformation by multiplying both sides by 2 to get rid of the fraction. Notice that ax + by = c does not allow for fractions. Doing that multiplication gives us 2y=-x + 3. Now move the x over by the y by addition. x + 2y = 3. And there you go!

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Mr.Mason takes two-thirds of his body weight and drinks that amount of gatorade in ounces per day. If Mr.Mason drinks 118 ounces

denis-greek [22]

The total weight of Mason is 177

Solution:

Given that, Mr.Mason takes two-thirds of his body weight and drinks that amount of gatorade in ounces per day

Mr.Mason drinks 118 ounces each day

Let "x" be the total weight of Mr.Mason

Therefore, we can say,

Two third of body weight = Amount of gatorade drank in ounces per day

Two third of x = 118

$\frac{2}{3} \text{ of } = 118\\\\\frac{2}{3} \times x = 118\\\\2x = 118 \times 3\\\\2x = 354\\\\x = \frac{354}{2}\\\\x = 177$