Answer:
bracelet = $5, necklace = $26
Step-by-step explanation:
so first we need to form the equations.
<em>(note that x = bracelets, y = necklaces)</em>
1st equation: 5x + <u>6y </u>= 181
2nd equation: 7x + <u>6y </u>= 191
<u><em>-you want to try to make one of the variables equal on both equations, just like 6y on the 1st and 2nd equation</em></u>
1) since both 6y's from both equations are positive, you want to subtract them so y does not exist anymore.
2) <u>subtract</u> 7x from 5x
3) <u>subtract</u> 191 from 181
4) your answer should be -2x = -10, which equals x = 5 when you simplify it
<em>-so now we know that each </em><em>bracelet</em><em> costs </em><em>$5</em>
<u><em>-to find the cost of each necklace:</em></u>
1) plug in the value of x into either <em>1st</em> or <em>2nd</em> <em>equation.</em>
2) for example:
5x + 6y = 181 <em>-first equation</em>
5(5) + 6y = 181 -plug in
25 + 6y = 181 <em>-distribute</em>
6y = 156 <em>- leave 6y alone by subtracting 25 from both sides</em>
y = 26<em> -divide by 6 to get the value of y</em>
<em>-so now we know that each </em><em>necklace </em><em>costs </em><em>$26</em>
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<em>(you can either solve it by </em><em>substitution</em><em> or </em><em>elimination</em><em>, but since elimination is easier in this problem </em><u><em>I used it rather than substituting</em></u><em>)</em>
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