How do i determine the intercepts of the line 3x+2y=5 y intercept: x intercept:

If my explanation doesn't make sense, there are some pretty good utube videos about it.

Here is our equation: 3x + 2y = 5

At the y-intercept (the point where the line meets y on a graph), x=0. The same can be applied to the x-intercept, as y=0. So, to find each intercept, we can treat 3x + 2y = 5, as we would with any other equation.

First, we will find the y-intercept. We know x=0, so that can be plugged in: 3(0) + 2y = 5

Anything times 0 is 0.

2y = 5

Divide both sides by 2 to isolate y:

y = 5/2 (or 2.5)

The y intercept is 5/2 (or 2.5).

Now, do the same for x, given that y=0: 3x + 2(0) = 5

Anything times 0 is 0.

3x = 5

Divide both sides by 3 to isolate x:

x = 5/3 (or 1.7

The x intercepts is 5/3 (or 1.7)

(You should probably use the fractional versions of the answers, but it depends on your teacher, I suppose)

Let me know if you have any questions about this! :)

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".