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3 years ago

9

What is the solution to the system of equations? x=3y+5 x-4y=3

1 answer:

vfiekz [6]3 years ago

8 0

<span>Solve </span><span><span>x=<span><span>3y</span>+5</span></span>;<span><span>x−<span>4y</span></span>=3

</span></span><span><span>x=<span><span>3y</span>+5</span></span>;<span><span>x−<span>4y</span></span>=3</span></span>Step: Solve <span>x=<span><span>3y</span>+5</span></span>for x:Step: Substitute <span><span>3y</span>+5 </span>for x in <span><span><span>x−<span>4y</span></span>=3</span>:</span><span><span>x−<span>4y</span></span>=3</span><span><span><span><span>3y</span>+5</span>−<span>4y</span></span>=3</span><span><span><span>−y</span>+5</span>=3 </span>Simplify both sides of the equation<span><span><span><span>−y</span>+5</span>+<span>−5</span></span>=<span>3+<span>−5 </span></span></span>Add -5 to both sides<span><span>−y</span>=<span>−2</span></span><span><span><span>−y</span><span>−1</span></span>=<span><span>−2</span><span>−1 </span></span></span>Divide both sides by -1<span>y=2</span>Step: Substitute 2 for y in <span><span>x =<span><span>3y</span>+5</span></span>:</span><span>x=<span><span>3y</span>+5</span></span><span>x=<span><span><span>(3)</span><span>(2)</span></span>+5</span></span><span>x=11 </span>Simplify both sides of the equationAnswer:<span><span>x=<span><span>11<span> and </span></span>y</span></span>=<span>2</span></span>

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Step-by-step explanation:

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Second ordered pair: (0,4)

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