Question

Please help me with a i don’t understand what it’s asking

Answer 1

Answer:

(-3,6)

Step-by-step explanation:

y = 1/3 x +7

y = -2x

The question is asking you to find a value for x that would satisfy both equations.

Since y is equal to y ( y=y) you can set both of these equations equal to each other. You would get:

-2x = 1/3 x +7

now you can do some algebra to isolate the x on one side solving for it, this gives you:

-2x - 1/3 x = 7....... -6/3 x - 1/3 x = 7 ...... -7/3 x = 7 ...... -7x = 21 ..... x = -3

Now you have x = -3, and if you plug this into an equation , lets say the second one since it's easier to solve you get:

y = -2(-3) .... y=6

This means when you graph these two equations they should intersect at the point (-3,6)

Answer 2

First you must graph the two equations. Equation 1 starts at +7 on the y-axis and has a slope of 1/3 (your slope is ‘rise/run’ so go up 1 and to the right 3). Equation 2 begins at the origin (0,0) and has a slope of -2 ( this is the same as -2/1, so go down two and to the right 1). After graphing these two lines, they should intersect each other on one of the points. This intersection is what’s known as your ‘solution set’ or simply ‘solution’.