I will solve your system by substitution.<span><span>x=<span>−2</span></span>;<span>y=<span><span><span>23</span>x</span>+3</span></span></span>Step: Solve<span>x=<span>−2</span></span>for x:Step: Substitute<span>−2</span>forxin<span><span>y=<span><span><span>23</span>x</span>+3</span></span>:</span><span>y=<span><span><span>23</span>x</span>+3</span></span><span>y=<span><span><span>23</span><span>(<span>−2</span>)</span></span>+3</span></span><span>y=<span>53</span></span>(Simplify both sides of the equation)
Answer:<span><span>x=<span>−<span><span>2<span> and </span></span>y</span></span></span>=<span>5/3
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so the answer is B (the second choice)
(Hope it helped ^_^)
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A reclined chair or maybe a laptop
Answer:
The percentage increase in Jayana's postcard collection is 15%
Step-by-step explanation:
Jayana had 20 postcards last year
With 3 more postcards this year
From the given equation Quantity = Percent x Whole
Here;
Let P = Percent/100%
Quantity = Increment in postcard = 3 postcards
Whole = The total postcards from last year = 20 postcards
Hence,
3 postcards = P x 20 postcards
P = 3/20 = 0.15
Recall P = Percent/100%
∴ Percent = P x 100% = 0.15 x 100% = 15%
The percentage increase in Jayana's postcard collection is 15%
The complete sequence is<u> 24, 30, 36, 42, 48, 54, 60</u>
<h3>The nth term of an arithmetic progression</h3>
The nth term of an arithmetic progression is expressed according to the equation;
Tn = a + (n-1)d
where
a is the first term
n is the number of terms
d is the common difference
Determine the common difference
d = 42-b = b - 30
-b-b = -30-42
-2b = -72
b = 36
d = 36-30
d = 6
For the first term;
d = 30 - a
6 = 30 - a
a = 24
For the value of c
c = 42 + 6
c = 48
For the value of d
d = 48 + 6
d = 54
For the value of e
e = 54 + 6
e = 60
Hence the complete sequence is<u> 24, 30, 36, 42, 48, 54, 60</u>
Learn more on arithmetic sequence here: brainly.com/question/24989563
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