X=-29/3 Original equation:<span>−4−2</span>=<span>2v−2+v+100/4 </span> Simplify and combine like terms:<span><span><span>−4</span>+</span>−2</span>=<span><span><span><span><span>2v</span>+</span>−2</span>+v</span>+25</span><span><span>(<span><span>−4</span>+<span>−2</span></span>)</span>=<span><span>(<span><span>2v</span>+v</span>)</span>+<span>(<span><span>−2</span>+25</span>) </span></span></span><span>−6</span>=<span><span>3v</span>+23</span><span><span>−6</span>=<span><span>3v</span>+<span>23 Flip Equation: </span></span></span><span><span>3v</span>+23</span>=<span>−<span>6 </span></span>Subtract 23 from each side:<span><span><span>3v</span>+23</span>−23</span>=<span><span>−6</span>−23</span> <span><span>3v</span>=<span>−<span>29 </span></span></span>Divide each side by 3:<span><span><span>3v/</span>3</span>=<span><span>−29/</span>3</span></span><span>v=<span><span>−29/</span><span>3</span></span></span>
65 divided by 7 is approximently 9, and 25 divided by 7 is approximently 3, so 9 plus 3 is 12, so Gracie must wash 12 cars to earn enough money to save 25 and spend 65!
