Question

Find the coordinate of the point where the graph of the equation 5x+2y=10 intersect both axes.

Answer 1

Heya,

Given=>

Equation => 5x + 2y = 10

When it will meet x axis then y axis will be = 0

So,

5x + 2(0) = 10

x = 10/5

x = 2

So, on x axis it meets on coordinate (2, 0)

When it meets at y axis then x axis is = 0

So,

5(0) + 2y = 10

y = 10/2

y = 5

So, on y axis it meets on coordinate (0, 5)

Therefore the coordinates of the point where the equation 5x + 2y = 10 intersect on x axis = (2, 0) and y axis = (0, 5).

Hope this helps...:)

Answer 2

The given equation will intersect the x-axis at (2, 0) and the y-axis at (0, 5).

Given:

an equation: 5x + 2y = 10

To Find:

the coordinates of the points where the given equation intersects both axes

Solution:

the x coordinate of any point on the y-axis is 0

if x = 0

⇒ 5(0) + 2y = 10

2y = 10

y = 10/2

y = 5

similarly, the y coordinate of any point on the x-axis is 0

if y = 0

⇒ 5x + 2(0) = 10

5y = 10

y = 10/5

y = 2

Thus, the given equation will intersect the x-axis at (2, 0) and the y-axis at (0, 5).

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