Solve for y
2x + 5y > 3y + 10

y>5-x

Step-by-step explanation:

To solve this problem we need start by grouping terms in the same side of inequality.

Lets begging by grouping 'y' terms on the left side of inequality sign, to do this, subtract 3y to both sides:

2x+5y-3y>3y-3y+10

2x+2y>10

Now lets subtract 2x to both sides of inequality.

2x-2x+2y>10-2x

2y>10-2x

Now isolate variable x by dividing the inequaiity by 2.

y>5-x

That is the solution

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.