Solve the equation graphically 2x y 2 4x y 4
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Solve the equations graphically 2x-y=2 and 4x-y=4
Answered by admin @
Answer:
x = 1
y = 0
Explanation :
Given that two equations -
2x - y = 2 ---------------------------------(1)
4x - y = 4 ---------------------------------(2)
Slope intercept form is y = mx + b
where m is slope & b is y intercept
Solve equation 1 for y :-
y = 2x - 2
y intercept is = -2; So, coordinate is = (0 , -2)
Now find the x-intercept. In order to find the x-intercept we put y = 0 in given equation.
0 = 2x - 2
x = 1
So, coordinate is = (1,0)
Graph this line.
Solve equation 2 for y :-
y = 4x - 4
y intercept is = -4; So, coordinate is = (0 , -4)
Now find the x-intercept. In order to find the x-intercept we put y = 0 in given equation.
0 = 4x - 4
x = 1
So, coordinate is = (1,0)
Graph the line.
We see that both the lines intersect at (1,0).
So, solution set is (1,0)
x = 1
y = 0
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