Answer:
Hope you will understand and it will help you
Multiply all terms by x and cancel:<span><span>6+<span>2x</span></span>=<span><span>3x</span>4</span></span><span><span><span>2x</span>+6</span>=<span><span>34</span>x</span></span>(Simplify both sides of the equation)<span><span><span><span>2x</span>+6</span>−<span><span>34</span>x</span></span>=<span><span><span>34</span>x</span>−<span><span>34</span>x</span></span></span>(Subtract 3/4x from both sides)<span><span><span><span>54</span>x</span>+6</span>=0</span><span><span><span><span><span>54</span>x</span>+6</span>−6</span>=<span>0−6</span></span>(Subtract 6 from both sides)<span><span><span>54</span>x</span>=<span>−6</span></span><span><span><span>(<span>45</span>)</span>*<span>(<span><span>54</span>x</span>)</span></span>=<span><span>(<span>45</span>)</span>*<span>(<span>−6</span>)</span></span></span>(Multiply both sides by 4/5)<span>x=<span><span>−24</span>5</span></span>Check answers. (Plug them in to make sure they work.)<span>x=<span><span><span>−24</span>5</span></span></span>
Answer:
<h2><u>
4 quarters, 10 dimes</u></h2>
Step-by-step explanation:
x + y = 14 --> x = 14 - y
$0.10x + $0.25y = $2.00, or 10x + 25y = 200
- we can plug this value for x from the first equation into the second:
10(14 - y) + 25y = 200
140 - 10y + 25y = 200
140 + 15y = 200
15y = 60
y = 4 --> 4 quarters ($0.25 x 4 = $1.00)
if y = 4, then x = 14 - y --> x = 10 --> 10 dimes (0.10 x 10 = $1.00)
matches the second equation where these add up to $2.00
1) scale factor 6 / 2 = 3 or 300%
2) z = three times less than 9 = 3
z=3
