First, group your like terms: 30-4.5x+36=102-7.5x-60 30+36-4.5x=102-60-7.5x 66-4.5x=42-7.5x Second, add 7.5x on both sides: 66+3x=42 Next, subract 66 on both sides: 3x=-24 Now, divide 3 on both sides: -24/3=-8 x=-8
Let's solve your equation step-by-step.<span><span><span>4.5<span>(8−x)</span></span>+36</span>=<span>102−<span>2.5<span>(<span>3x+24</span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>4.5<span>(8−x)</span></span>+36</span>=<span>102−<span>2.5<span>(<span>3x+24</span>)</span></span></span></span>Simplify: (Show steps)<span><span><span>−4.5x</span>+72</span>=<span><span>−7.5x</span>+42</span></span>Step 2: Add 7.5x to both sides.<span><span><span><span>−4.5x</span>+72</span>+7.5x</span>=<span><span><span>−7.5x</span>+42</span>+7.5x</span></span><span><span>3x+72</span>=42</span>Step 3: Subtract 72 from both sides.<span><span><span>3x+72</span>−72</span>=42−72</span><span>3x=−30</span>Step 4: Divide both sides by 3.<span><span>3x3</span>=<span>−303</span></span><span>x=<span>−<span>10</span></span></span>
1.If the slopes of each equation are the same, they are parallel. If the slopes are the opposite reciprocal of each other, they are perpendicular. 2. The equations are parallel, here’s my work:
