Question

(Score for Question 4 of 6 points)

4. Given the system of linear equations, find the sol
(a) Graph the system of equations on the graph ber
solution by graphing the system on the coordinate plane.
y = 2x + 2
y = -2
(b) What is the solution to the system?

Answer 1

a) On Desmos.

b)The solution set {-2,-2}

Explanation:

For drawing a line on graph we require minimum two points.

we have,

`y=2x+2`

Put x = 0,we get

y = 2

∴ Let A (0,2)

Similarly

Put y = 0 we get

x = -1

∴ Let B (-1,0)

Now Draw line AB

For y = -2

It is the line parallel to X axis where Y value is always -2

Now , by drawing these two lines we will get the intersecting point, and this intersecting point is the solution to the system. Let the point be C (-2,-2)

Here we substitute y= -2 in y = 2x + 2 we get

`-2 = 2x +2\\2x=-4\\x=-2\\\therefore (-2,-2)`

The solution is {-2,-2}