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Pepsi [2]
3 years ago
12

Solve the equation 10x + 9y = 5z - 8w for x. What is the coefficient for w?

Mathematics
1 answer:
TiliK225 [7]3 years ago
7 0
Step 1: Flip the equation.<span><span><span>−<span>8w</span></span>+<span>5z</span></span>=<span><span>10x</span>+<span>9y</span></span></span>Step 2: Add -5z to both sides.<span><span><span><span>−<span>8w</span></span>+<span>5z</span></span>+<span>−<span>5z</span></span></span>=<span><span><span>10x</span>+<span>9y</span></span>+<span>−<span>5z</span></span></span></span><span><span>−<span>8w</span></span>=<span><span><span>10x</span>+<span>9y</span></span>−<span>5z</span></span></span>Step 3: Divide both sides by -8.<span><span><span>−<span>8w</span></span><span>−8</span></span>=<span><span><span><span>10x</span>+<span>9y</span></span>−<span>5z</span></span><span>−8</span></span></span><span>w=<span><span><span><span><span>−5</span>4</span>x</span>+<span><span><span>−9</span>8</span>y</span></span>+<span><span>58</span>z</span></span></span>Answer:<span>w=<span><span><span><span><span>−5</span>4</span>x</span>+<span><span><span>−9</span>8</span>y</span></span>+<span><span>58</span><span>z</span></span></span></span>
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