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leonid [27]
3 years ago
15

Solve the literal equation for x: g= 4x+5xy

Mathematics
1 answer:
Andreas93 [3]3 years ago
3 0

The literal equation for x is \frac{g}{4+5y} given that g= 4x+5xy

The subject of a formula is a way of representing a variable in terms of other variables.

Given the equation

g= 4x+5xy

Factor out the common variable x

g= x(4+5y)

Divide both sides by 4+5y

\frac{g}{4+5y} =\frac{x(4+5y)}{4+5y} \\\frac{g}{4+5y} = x\\Swap\\x = \frac{g}{4+5y}

This shows that the literal equation for x is \frac{g}{4+5y}

Learn more here: brainly.com/question/21140562

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Ok, so you are given the value of P=q+2

The substitution method tells us that we must insert the value we know, into the second equation, 4P+3q= -27


Doing so will give us 4(q+2)+3q= -27

For right now, lets just focus on the first part, 4(q+2)

We can simplify this by distributing(multiplying) the 4 to whats inside the variables.

This will give us 4q+8

now lets add this back to the rest of the equation >>>  4q+8+3q = -27

We can further simplify by adding like terms >>> 7q+8 = -27

subtract the 8 from both sides >>> 7q = -35

now divide both sides by 7 >>> q = -35/7

Therefor q = -5

EDIT* 

now that we know q = -5 we can put q into the equation for P !

we know that p=q+2

so lets put q in now >>> p=(-5)+2

and simplify>>> p = -3

I hope this helps:)
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