<span><span>y=<span><span>−<span>4x</span></span>+5</span></span>;<span>y=<span><span>−<span>2x</span></span>+1</span></span></span>Step: Solve<span>y=<span><span>−<span>4x</span></span>+5</span></span>for y:Step: Substitute<span><span>−<span>4x</span></span>+5</span>foryin<span><span>y=<span><span>−<span>2x</span></span>+1</span></span>:</span><span>y=<span><span>−<span>2x</span></span>+1</span></span><span><span><span>−<span>4x</span></span>+5</span>=<span><span>−<span>2x</span></span>+1</span></span><span><span><span><span>−<span>4x</span></span>+5</span>+<span>2x</span></span>=<span><span><span>−<span>2x</span></span>+1</span>+<span>2x</span></span></span>(Add 2x to both sides)<span><span><span>−<span>2x</span></span>+5</span>=1</span><span><span><span><span>−<span>2x</span></span>+5</span>+<span>−5</span></span>=<span>1+<span>−5</span></span></span>(Add -5 to both sides)<span><span>−<span>2x</span></span>=<span>−4</span></span><span><span><span>−<span>2x</span></span><span>−2</span></span>=<span><span>−4</span><span>−2</span></span></span>(Divide both sides by -2)<span>x=2</span>Step: Substitute2forxin<span><span>y=<span><span>−<span>4x</span></span>+5</span></span>:</span><span>y=<span><span>−<span>4x</span></span>+5</span></span><span>y=<span><span><span>(<span>−4</span>)</span><span>(2)</span></span>+5</span></span><span>y=<span>−3</span></span><span>(Simplify both sides of the equation)
</span><span><span>x=<span><span>2<span> and </span></span>y</span></span>=<span>−3</span></span>
