<span><span><span>x−<span>2y</span></span>=4</span>;<span><span><span>5x</span>−<span>3y</span></span>=34</span></span>Step: Solve<span><span>x−<span>2y</span></span>=4</span>for x:<span><span><span>x−<span>2y</span></span>+<span>2y</span></span>=<span>4+<span>2y</span></span></span>(Add 2y to both sides)<span>x=<span><span>2y</span>+4</span></span>Step: Substitute<span><span>2y</span>+4</span>forxin<span><span><span><span>5x</span>−<span>3y</span></span>=34</span>:</span><span><span><span>5x</span>−<span>3y</span></span>=34</span><span><span><span>5<span>(<span><span>2y</span>+4</span>)</span></span>−<span>3y</span></span>=34</span><span><span><span>7y</span>+20</span>=34</span>(Simplify both sides of the equation)<span><span><span><span>7y</span>+20</span>+<span>−20</span></span>=<span>34+<span>−20</span></span></span>(Add -20 to both sides)<span><span>7y</span>=14</span><span><span><span>7y</span>7</span>=<span>147</span></span>(Divide both sides by 7)<span>y=2</span>Step: Substitute2foryin<span><span>x=<span><span>2y</span>+4</span></span>:</span><span>x=<span><span>2y</span>+4</span></span><span>x=<span><span><span>(2)</span><span>(2)</span></span>+4</span></span><span>x=8</span><span>(Simplify both sides of the equation)</span>
