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ollegr [7]
2 years ago
13

Steps to solve this equation.

Mathematics
2 answers:
Scrat [10]2 years ago
8 0
-4x+9y=28
-4x-y=-28

Solve for one variable in either equation, then substitute it in the other equation to find the other variable.

-4x+9y=28
Add 4x to both sides
9y=28+4x
Divide both sides by 9
y=(28+4x) / 9

-4x-y=-28
-4x- ((28+4x) / 9)= -28
-4x-28/9-4x/9=-28
Multiply everything by -9 to get rid of denominators
(-9)(-4x)-(-9)(28/9)-(-9)(4x/9)=(-9)(-28)
36x+28+4x=252
40x+28=252
Subtract 28 from both sides
40x=224
Divide both sides by 40
x=5.6

Substitute x=5.6 back in to now solve for y.
-4x+9y=28
(-4)(5.6)+9y=28
-22.4+9y=28
Add -22.4 to both sides
9y=50.4
Divide both sides by 9
y=5.6

Hope this helps! :)
Leokris [45]2 years ago
5 0
Solve the following system:
{9 y - 4 x = 28 | (equation 1)
{-4 x - y = -28 | (equation 2)

Subtract equation 1 from equation 2:
{-(4 x) + 9 y = 28 | (equation 1)
{0 x - 10 y = -56 | (equation 2)

Divide equation 2 by -2:
{-(4 x) + 9 y = 28 | (equation 1)
{0 x+5 y = 28 | (equation 2)

Divide equation 2 by 5:
{-(4 x) + 9 y = 28 | (equation 1)
{0 x+y = 28/5 | (equation 2)

Subtract 9 × (equation 2) from equation 1:
{-(4 x)+0 y = (-112)/5 | (equation 1)
{0 x+y = 28/5 | (equation 2)

Divide equation 1 by -4:
{x+0 y = 28/5 | (equation 1)
{0 x+y = 28/5 | (equation 2)

Collect results:
Answer:   {x = 28/5
                 {y = 28/5
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Molodets [167]

Solution for f(g(5)):


The notation f(g(5)) or (f • g)(5) means that we first plug 5 into the function g(x), simplify, then plug the answer that we got to f(x). We will do this step-by-step:


Step 1: Plugging 5 to g(x)

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Step 2: Plugging the answer to f(x)

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ANSWER: f(g(5)) is equal to 3.


Domain:


For the function f(g(x)), we can find the domain by analyzing the domains of each individual functions separately and excluding certain values depending on the restrictions from the outermost function.


However, since both functions have all real numbers as its domain, we will not need to do any exclusion anymore.


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