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Mariulka [41]
3 years ago
5

Solve system by substitution x-5y=18 2×+6y=4

Mathematics
1 answer:
vfiekz [6]3 years ago
7 0
Algebra Calculator
I will solve your equations by substitution.<span><span><span>12y</span>=4</span>;<span><span>x−<span>5y</span></span>=18</span></span>
Step: Solve<span><span> 12y</span>=4</span>for y:<span><span><span>12y/</span>12</span>=<span>4/12</span></span>(Divide both sides by 12)<span>y=<span>13</span></span>Step: Substitute <span>1/3 </span>for y in<span><span><span> x−<span>5y</span></span>=18</span>:</span><span><span>
</span></span><span><span>x−<span>5y</span></span>=18</span><span><span>
</span></span><span><span>x−<span>5<span>(<span>1/3</span>)</span></span></span>=18</span><span><span>
</span></span><span><span>x+<span><span>−5/</span>3</span></span>=18</span>(Simplify both sides of the equation)<span><span><span>
</span></span></span><span><span><span>x+<span><span>−5</span>/3</span></span>+<span>5/3</span></span>=<span>18+<span>5/3</span></span></span>(Add 5/3 to both sides)<span>
</span><span>x=<span>59/3</span></span>
Answer:<span><span>x=<span><span><span>59/3</span> and </span>y</span></span>=<span>1/<span>3</span></span></span>
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