<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>