Question

Find the solution to the following system of equations using the substitution method: y=-2/3x+5 and 3y+2x=15

Answer 1

Answer:y18 and y92

Step-by-step explanation:

We can start from that

−

5

at the end, which indicates the

y

-intercept and you may ask how?

If we substitute

0

instead of

x

, then

y

=

2

3

⋅

0

−

5

y

=

−

5

This will give us the first coordinate, which is

(

0

,

−

5

)

.

After that, let's look at the slope, which is

2

3

. As you might know, the slope is also referred to as

rise/run

; what do they mean by that is that the first top number tells you how many units you go up and the second one how many units you go right or how many units you go down and go left.

Now, I know this may seem complicated but let's make it clear. Since we know one coordinate, which is

(

0

,

−

5

)

, from that point by knowing the slope we can find a second point; this point is

2

points above and

3

to the right, which tells us that

−

5

+

2

points above gives us

−

3

and

3

points on the right gives us a new coordinate:

(

3

,

−

3

)

.

And since we now know two coordinates, that is enough to draw the line and have the graph!!!

enter image source here

I hope you found this helpful!!!!