AAS Theorem is what should be used I believe. The Sides are congruent and so are the 90 degree angles, the angles that are next to eachother on the left are evenly split by the transverse theorem. So AAS states that two angles and a side being equivelant on both triangles makes them congruent.
x = 2y
1/x + 1/y = 3/10
Since we have a value for x, let's plug it into the second equation.
1/2y + 1/y = 3/10
Now, let's make the denominators equal.
Multiply the second term by 2.
1/2y + 2/2y = 3/10
Multiply the final term by 0.2y
1/2y + 2/2y = 0.6y/2y
Compare numerators after adding.
3 = 0.6y
Divide both sides by 0.6
<h3>y = 5</h3>
Now that we have the value of the second integer, we can find the first.
x = 2y
x = 2(5)
<h3>x = 10</h3>
Let's plug in these values in our equations to verify.
10 = 2(5) √ this is true
1/10 + 1/5 = 3/10 √ this is true
<h3>The first integer is equal to 10, and the second is equal to 5.</h3>
Simplify to get −x^2-18x+15
