Question

solve the equations graphically 2x-y=2 and 4x-y=4

Answer 1

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

Answer 2

2x-y=2 -------(1)
X 1 2
Y 0 2

2(1)-y=2
2-y=2
hence,y=0

2(2)-y=2
4-y=2
y=4-2
hence,y=2


4x-y=4-------(2)
X 1 2
Y 0 4

4(1)-y=4
y=4-4
hence,y=0

4(2)-y=4
8-y=4
y=8-4
hence,y=4