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

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!