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Daniel [21]
3 years ago
14

Solving systems of equations using substitution p=q+2 4p+3q= -27

Mathematics
1 answer:
GREYUIT [131]3 years ago
6 0
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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The only true statement that compares the two functions is:

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<h3>Which statements are correct?</h3>

Here we have the functions:

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First, let's find the solution for:

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Notice that we have two options, x = 3:

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And x = 1:

|1 - 3| = 2*1

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Now to get the y-value where the graphs intersect, we just evaluate one of the functions in the solution we found above;

f(1) = |1 - 3| + 1  = 2 + 1 = 3

The graphs intersect when y = 3.

Then we conclude that the only true statement is:

B: The solution to f(x)=g(x) is 1

If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

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mihalych1998 [28]
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3 years ago
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goblinko [34]

Answer:

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Step-by-step explanation:

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∠ FEB and ∠ DEB are adjacent angles and supplementary, thus

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pickupchik [31]
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<=>

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to visit the of the empire state building, a ticket cost $4.00 in 1999.in 2009 ,the price rose to 20.00. what was the percent ch
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Answer:

Step-by-step explanation:

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