2x+y=9 (*2) __ 4x+2y=18 name it 1. 8x-2y=6 name it 2. Now add both equations, 1 & 2. 4x+2y+8x+-2y=18+6. 2y will be cancelled out. You'll be left with 12x=24, x=2. Then replace the value of x which is 2 in either equation 1 or 2. I'll go with 1 equation 4(2)+2y=18 2y=18-8=10 y=5. Using the equation 2 should provide the same result of y.
For the first equation: Let's solve for x.<span><span><span>2x</span>+y</span>=9</span>Step 1: Add -y to both sides.<span><span><span><span>2x</span>+y</span>+<span>−y</span></span>=<span>9+<span>−y</span></span></span><span><span>2x</span>=<span><span>−y</span>+9</span></span>Step 2: Divide both sides by 2.<span><span><span>2x/</span>2</span>=<span><span><span>−y</span>+9/</span>2</span></span><span>x=<span><span><span><span>−1/</span>2</span>y</span>+<span>9/2</span></span></span>Answer:<span>x=<span><span><span><span>−1/</span>2</span>y</span>+<span>9/<span>2
For the second equation: </span></span></span></span>Let's solve for x.<span><span><span>8x</span>−<span>2y</span></span>=6</span>Step 1: Add 2y to both sides.<span><span><span><span>8x</span>−<span>2y</span></span>+<span>2y</span></span>=<span>6+<span>2y</span></span></span><span><span>8x</span>=<span><span>2y</span>+6</span></span>Step 2: Divide both sides by 8.<span><span><span>8x/</span>8</span>=<span><span><span>2y</span>+6/</span>8</span></span><span>x=<span><span><span>1/4</span>y</span>+<span>3/4</span></span></span>Answer:<span>x=<span><span><span>1/4</span>y</span>+<span>3/<span>4 Hope I helped!:)</span></span></span></span>
