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Eva8 [605]
3 years ago
9

What is -7x+2y=-23 y=-8x+23

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
6 0
<u>Steps:</u>I will try to solve your system of equations.
<span><span>y=<span><span>−<span>8x</span></span>+23</span></span>;<span><span><span>−<span>7x</span></span>+<span>2y</span></span>=<span>−23
</span></span></span><span>Step: Solve <span>y=<span><span>−<span>8x</span></span>+23 </span></span>for y: </span><span>Step:
Substitute<span><span>−<span>8x</span></span>+23 </span>for y in <span><span><span><span>−<span>7x</span></span>+<span>2y</span></span>=<span>−23</span></span>:
</span></span><span><span><span>−<span>7x</span></span>+<span>2y</span></span>=<span>−23</span></span><span><span><span>−<span>7x</span></span>+<span>2<span>(<span><span>−<span>8x</span></span>+23</span>)</span></span></span>=<span>−23</span></span><span><span><span><span>−<span>23x</span></span>+46</span>=<span>−23</span></span>(Simplify both sides of the equation)</span><span><span><span><span><span>−<span>23x</span></span>+46</span>+<span>−46</span></span>=<span><span>−23</span>+<span>−46</span></span></span>(Add -46 to both sides)</span><span><span>−<span>23x</span></span>=<span>−69</span></span><span><span><span><span>−<span>23x</span></span><span>−23</span></span>=<span><span>−69</span><span>−23</span></span></span>(Divide both sides by -23)</span><span>x=3</span><span>Step: Substitute 3 for x in <span><span>y=<span><span>−<span>8x</span></span>+23</span></span>:</span></span><span>y=<span><span>−<span>8x</span></span>+23</span></span><span>y=<span><span><span>(<span>−8</span>)</span><span>(3)</span></span>+23</span></span><span><span>y=<span>−1</span></span>(Simplify both sides of the equation)
</span><u>Answer:</u><span><span>y=<span>−<span><span>1<span> and </span></span>x</span></span></span>=<span>3</span></span>
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