Determine the point on the graph of the equation 2x + 5y = 21 whose x-coordinate is the same as y-coordinate. [3 MARKS]

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Solution

Concept : 1 Mark
Calculation : 1 Mark
Result : 1 Mark

Given, X=Y
Let the required point be (a, a)

Since this point is on the line, it should satisfy the equation of the line.

2a + 5a = 21

7a = 21

a = 3

The required point is (3, 3)

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Determine the point on the graph of the equation 2x + 5y = 21 whose x-coordinate is the same as y-coordinate. [3 MARKS]

Concept : 1 Mark Calculation : 1 Mark Result : 1 Mark Given, X=Y Let the required point be (a, a) Since this point is on the line, it should satisfy the equation of the line. 2a + 5a = 21 7a = 21 a = 3 The required point is (3, 3)

Concept : 1 Mark
Calculation : 1 Mark
Result : 1 Mark

Given, X=Y
Let the required point be (a, a)

Since this point is on the line, it should satisfy the equation of the line.

2a + 5a = 21

7a = 21

a = 3

The required point is (3, 3)