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Sliva [168]
3 years ago
7

X+4y=11 and 2x+2y=-8 solve by elimination

Mathematics
1 answer:
Sliva [168]3 years ago
7 0
<span>Multiply the first equation by -2,and multiply the second equation by 1.</span><span><span>−2</span><span>(<span><span>x+<span>4y</span></span>=11</span>)</span></span><span>1<span>(<span><span><span>2x</span>+<span>2y</span></span>=<span>−8</span></span>)</span></span>Becomes:<span><span><span>−<span>2x</span></span>−<span>8y</span></span>=<span>−22</span></span><span><span><span>2x</span>+<span>2y</span></span>=<span>−8</span></span>Add these equations to eliminate x:<span><span>−<span>6y</span></span>=<span>−30</span></span>Then solve<span><span>−<span>6y</span></span>=<span>−30</span></span>for y:<span><span><span>−<span>6y</span></span><span>−6</span></span>=<span><span>−30</span><span>−6</span></span></span>(Divide both sides by -6)<span>y=5</span>Now that we've found y let's plug it back in to solve for x.Write down an original equation:<span><span>x+<span>4y</span></span>=11</span>Substitute5foryin<span><span><span>x+<span>4y</span></span>=11</span>:</span><span><span>x+<span><span>(4)</span><span>(5)</span></span></span>=11</span><span><span>x+20</span>=11</span>(Simplify both sides of the equation)<span><span><span>x+20</span>+<span>−20</span></span>=<span>11+<span>−20</span></span></span>(Add -20 to both sides)<span>x=<span>−9</span></span>Answer:<span><span>x=<span>−<span><span>9<span> and </span></span>y</span></span></span>=<span>5</span></span>
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