)Consider the following pair of equations:
Mathematics

Tutor: None Selected  Time limit: 1 Day 
Mathematics

Tutor: None Selected  Time limit: 1 Day 
(08.01)
x + y = −2
y = 2x + 10
If the two equations are graphed, at what point do the lines representing the two equations intersect?
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Find two points on each of these lines.
x + y = 2
If x = 0
then y = 2
If y = 0
then x = 2
x  0  2 
y  2  0 
y = 2x + 10
If x = 0
then y = 2*0 + 10 = 0 + 10 = 10
If y = 0
0 = 2x + 10
2x = 10
x = 10/2
x = 5
x  0  5 
y  10  0 
Mark these two points on the graph and join them to get the line.
Extend the two lines so that they intersect.
So, the two lines intersect at the point (4, 2).
ANSWER: (4, 2)

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