Question

Solve the system of equations below by graphing both equations with a

pencil and paper. What is the solution?

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

A. (-2,-7)
B. (2,-3)
C. (-2,5)
D. (2,1)

Answer 1

[D] (2,1)

Explanation:

Given;

y=2x-3

y=-2x + 5

Solve;

y = 2x - 3 . . . [Equation 1]

y = -2x + 5 . . . [Equation 2]

[Equating 1 and 2]

2x - 3 = -2x + 5

2x + 2x = 5 + 3

4x = 8

x = 8/4 = 2

x = 2

y = 2(2) - 3 = 4 - 3 = 1

y = 1

Solution = (2, 1)

Hence, Answer = [D] (2,1)

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Answer 2

2x-3 = -2x + 5

4x = 8

x = 2

y = 2*2 - 3 = 1

(2 ; 1)

you have to draw the 2 lines

the solution will be the intersection point of the 2 lines