Five students plan to rent a minivan for the weekend and equally share the rental cost. By adding one more people, they can each
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So we want to solve <span><span><span>2x </span>− 40 </span>= <span>3y </span></span>for x<span><span><span><span>2x </span>− 40 </span>+ 40 </span>= <span><span>3y </span>+ 40</span></span>(Add 40 to both sides!)<span><span>2x </span>= <span><span>3y </span>+ <span>40
Now divide both sides by 2!
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Now substitute
Which then gives us..
<span><span>2y </span>= <span><span>−<span>6y </span></span>− 32</span></span>(Make sure to simplify both sides of the equation)<span><span><span>2y </span>+ <span>6y </span></span>= <span><span><span>−<span>6y </span></span>− 32 </span>+ <span>6y</span></span></span>(Now add 6y to both sides)<span><span>8y </span>= <span>−<span>32
Now divide both sides by 8
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Now we have to substitute -4 for y in
So we end up getting...
<span>x = <span><span>14<span> and </span></span>y </span></span>= <span>−<span>4.
</span></span>Hope this helps!
Now divide both sides by 2!
</span></span></span>
Now substitute
Which then gives us..
<span><span>2y </span>= <span><span>−<span>6y </span></span>− 32</span></span>(Make sure to simplify both sides of the equation)<span><span><span>2y </span>+ <span>6y </span></span>= <span><span><span>−<span>6y </span></span>− 32 </span>+ <span>6y</span></span></span>(Now add 6y to both sides)<span><span>8y </span>= <span>−<span>32
Now divide both sides by 8
</span></span></span>
Now we have to substitute -4 for y in
So we end up getting...
<span>x = <span><span>14<span> and </span></span>y </span></span>= <span>−<span>4.
</span></span>Hope this helps!