Question

Determine the point on the graph of the equation 2x + 5y = 20 whose x-coordinate is 5 times its ordinate

Answer 1

Answer:

As the x-coordinate of the point is 5/2 times its ordinate, therefore, x = 5/2 y. Now putting x = 5/2 y in 2x + 5y = 20, we get, y = 2. Therefore, x = 5. Thus, the required point is (5, 2).

Answer 2

Concept

An algebraic equation can be defined as a mathematical statement in which two expressions are equal to each other. An algebraic equation usually consists of a variable, coefficients, and constants.

A pair of numbers that describes the position of a point in a coordinate plane using horizontal and vertical distances from two reference axes. Usually represented by (x,y) an x value and a y value.

Given

The equation 2x + 5y = 20 is given whose x-coordinate is 5 times its ordinate

Find

We need to find the point on the graph of the equation 2x + 5y = 20

Solution

2x+5y=20.........(1)

x-coordinate is 5 times its ordinate

x=5y

Put this value of x in (1),we get

2(5y) +5y=20

10y+5y=20

15y=20

y=20/15=4/3

y=4/3

x=5y=5(4/3)=20/3

x=20/3

Hence the point of the graph is (x,y)=(20/3 , 4/3)

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