<span>The answers to this problem are:<span>(<span>±5</span></span>√3/8,±5/8)<span>Here is the solution:
Step 1: <span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span></span>
Step 2: Substitute:<span>
</span><span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)
</span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)</span></span>
</span><span>x^2</span>−<span>y^2</span>=<span>25/32</span><span>.
Add [2] and [3]:<span>
</span><span>2<span>x^2</span>=<span>75/32
</span><span>x^2</span>=<span>75/74</span></span>
<span>x=±5</span></span>√3/8<span>
Substitute into [2]:<span>
</span><span><span>75/64</span>+<span>y^2</span>=<span>50/32
</span><span>y^2</span>=<span>25/64</span></span>
<span>y=±<span>5/8</span></span>
</span>
</span>
1/5 and 3/5
Hope this helps!
Is that your test or homework
3x+2−x=11x−9
Step 1: Simplify both sides of the equation.
3x+2−x=11x−93x+2+−x=11x+−9(3x+−)(2)=11x−9
(Combine Like Terms)
2x+2=11x−92x+2=11x−9
Step 2: Subtract 11x from both sides.
2x+2−11x=11x−9−11x−9x+2=−9
Step 3: Subtract 2 from both sides.
−9x+2−2=−9−2−9x=−11
Step 4: Divide both sides by -9.
−9x−9=−11−9x=119
ANSWER: 11/9
Hope it helps
