<span><span>−<span>4x</span></span><span>−4</span></span>=<span><span><span>−<span>8y</span></span>−4</span><span>−4</span></span><span>x=<span><span>2y</span>+1</span></span> and <span><span><span>4x</span>4</span>=<span><span><span>3y</span>+14</span>4</span></span><span>x=<span><span><span>34</span>y</span>+<span><span>72 </span></span></span></span>
Hello!! Lets do this step by step! :) <span><span><span><span>−<span>4x</span></span>+<span>8y</span></span>=<span>−4</span></span>;<span><span>4x</span>=<span><span>3y</span>+14</span></span></span> <span><span><span> <span /></span><span /></span><span /></span>To first get x: <span><span><span><span>−<span>4x</span></span>+<span>8y</span></span>+<span>−<span>8y</span></span></span>=<span><span>−4</span>+<span>−<span>8y </span></span></span></span>we are ganna add -8y to both sides <span><span>−<span>4x</span></span>=<span><span>−<span>8y</span></span>−4</span></span><span><span><span>−<span>4x</span></span><span>−4</span></span>=<span><span><span>−<span>8y</span></span>−4</span><span>−4 </span></span></span>we are ganna divide both sides by -4 <span>x=<span><span>2y</span>+1</span></span> next just substitute <span><span>2y</span>+1</span> for x in<span><span><span> 4x</span>=<span><span>3y</span>+14</span></span>:</span><span><span>4x</span>=<span><span>3y</span>+14</span></span><span><span>4<span>(<span><span>2y</span>+1</span>)</span></span>=<span><span>3y</span>+14</span></span><span><span><span>8y</span>+4</span>=<span><span>3y</span>+14</span></span><span><span><span><span>8y</span>+4</span>+<span>−<span>3y</span></span></span>=<span><span><span>3y</span>+14</span>+<span>−<span>3y</span></span></span></span> we are ganna add -3y to both sides <span><span><span>5y</span>+4</span>=14</span><span><span><span><span>5y</span>+4</span>+<span>−4</span></span>=<span>14+<span>−4</span></span></span> we are ganna add -4 to both sides <span><span>5y</span>=10</span><span><span><span>5y</span>5</span>=<span>105</span></span> now we are ganna divide both sides by 5 <span>y=2</span>substitute 2 for y in<span><span> x=<span><span>2y</span>+1</span></span>:</span><span>x=<span><span>2y</span>+1</span></span><span>x=<span><span><span>(2)</span><span>(2)</span></span>+1</span></span><span>x=5</span>
And we get our answer! x=5 y=2
Hope that helps! If you have any other questions or need further explanation just let me know! :)
