Question

Graph the equations to solve the system y= -2x y= 3x + 5

Answer 1

Answer: (-1, 2)

Explanation:

You must graph each equation. Then identify the point where both lines intersect and that point will be the system solution.

We have the following lines

`y = -2x`,
`y = 3x + 5`

The first equation corresponds to a line of slope m = -2 that passes through the origin.

To graph the second line we find its interception with the x-axis and the y-axis.

Intersection with the y axis.

`y = 3 (0) +5\\y = 5`

Intersection with the x axis

`0 = 3x +5\\\\3x = -5\\\\x = -(5)/(3)`

Now we can graph both lines as shown in the attached image

Note that the solution is: (-1, 2)

Answer 2

The solution is the point (-1,2)

Explanation:

we have

y=-2x -----> equation A

y=3x+5 ----> equation B

Solve the system of equations by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

The solution is the point (-1,2)

see the attached figure