Question

A pair of equations is shown below.

x + y = 2
y = one halfx + 5

If the two equations are graphed, at what point do the lines representing the two equations intersect?

Answer 1

(-2,4)

Explanation:

From qsn

x + y = 2

or, x = 2-y .... (i)

And,

y = (x/2) + 5 (one half x)

or 2y = x + 10

or x = 2y - 10 .... (ii)

From eqn i and ii we get

2-y = 2y-10

or 12 = 3y

or y = 4

putting the value of y in eqn (i) we get

x = 2-4

or, x = -2

Answer 2

Answer:
solution is (-2,4)
Explanation:


Let’s graph both equations.
solve for y

Make a table to graph the equation
x y=-x+2
0 y=2
1 y=1
Graph the points (0,2) and (1,1) . then extend the line that connects two points

x y=(1/2)x+5
0 y=5
2 y=6
Graph the points (0,5) and (2,6) . then extend the line that connects two points
The graph is attached below
Both lies intersects at (-2,4)