<span><span>5x+4y</span>=12</span>Step 1: Add -4y to both sides.<span><span><span>5x+4y</span>+<span>−4y</span></span>=<span>12+<span>−4y</span></span></span><span>5x=<span><span>−4y</span>+12</span></span>Step 2: Divide both sides by 5.<span><span>5x5</span>=<span><span><span>−4y</span>+12</span>5</span></span><span>x=<span><span><span>−45</span>y</span>+125</span></span>Answer:<span>x=<span><span><span>−45</span>y</span>+<span>12<span>5 question 2: </span></span></span></span><span><span><span>3x</span>−<span>3y</span></span>=18</span>Step 1: Add 3y to both sides.<span><span><span><span>3x</span>−<span>3y</span></span>+<span>3y</span></span>=<span>18+<span>3y</span></span></span><span><span>3x</span>=<span><span>3y</span>+18</span></span>Step 2: Divide both sides by 3.<span><span><span>3x</span>3</span>=<span><span><span>3y</span>+18</span>3</span></span><span>x=<span>y+6</span></span>Answer:<span>x=<span>y+<span>6</span></span></span>
Let x be the value of the third term. Since it's a geometric sequence, then: Third term/Second term = Fourth term/Third term x/20 = 11.25/x Cross multiplication: x^2 = 225 x = 15 So since the ratio is constant, then it is x/20 = 15/20 = 3/4 So the common ratio is 3/4 or 0.75.
