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Elena L [17]
3 years ago
5

Solving Systems of Equations by Substitution y=1/2x+5 y=-3/2x-7

Mathematics
1 answer:
DerKrebs [107]3 years ago
4 0
\left\{\begin{array}{ccc}y=\frac{1}{2}x+5\\y=-\frac{3}{2}x-7\end{array}\right\\\\subtitute:\\\\\frac{1}{2}x+5=-\frac{3}{2}x-7\ \ \ \ |subtract\ 5\ from\ both\ sides\\\\\frac{1}{2}x=-\frac{3}{2}x-12\ \ \ \ |add\ \frac{3}{2}x\ to\ both\ sides\\\\\frac{4}{2}x=-12\\\\2x=-12\ \ \ \ |divide\ both\ sides\ by\ 2\\\boxed{x=-6}\\\\subtitute\ value\ of\ "x"\ to\ first\ equation:\\\\y=\frac{1}{2}\cdot(-6)+5=-3+5=\boxed2\\\\Answer:\boxed{\boxed{x=-6\ and\ y=2}}
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The number of girls in the Middle School Cyber Club was 6 more than double the number of boys, and in total there were 48 middle
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Answer:

g = number of girls;

b= number of boys

we know that: g= 6+2b

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Step-by-step explanation:

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2 years ago
The first element in an arithmetic sequence is 2. Its twenty second is 14. Find the value of n so that a(n)=6
Aleks04 [339]

Answer:

<h2>n = 8</h2>

Step-by-step explanation:

Given the nth term of an arithmetic sequence to be Tn = a+(n-1)d

a = first term of the sequence

n = number of terms

d = common difference.

Given the first element a = 2 and 22nd to be 14

T22 = a+(22-1)d = 14

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6 = 2+4/7 n - 4/7

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n = 32/4

n = 8

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