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Determine the point on the graph of the linear equation 2x + 5y = 19 whose ordinate is 1½ times its abscissa.

Answer:

From the question, we have,

2x + 5y = 19 …(i)

According to the question,

Ordinate is 1½ times its abscissa

⇒ y = 1½ x = (3/2) x

Substituting y = (3/2)x in eq. (i)

We get,

2x + 5 (3/2) x = 19

(19/2)x = 19

x = 2

Substituting x = 2 in eq. (i)

We get

2x + 5y = 19

2(2) + 5y = 19

y = (19 – 4)/5 = 3

Hence, we get x =2 and y = 3

Thus, point (2, 3) is the required solution.

"hello everyone i am sumanjali math tutor
from leader learning
welcome to question and answer session
given question is
determine the point on the graph of the
linear equation
2x plus 5y equals to 19 whose ordinate
is one whole 1 upon 2 times its abscissa
okay so coming to the given question uh
the given equation is 2x plus 5y
equals to 19. this is the given equation
given equation is
2x plus 5y equals to
19 and also there is one more point that
is given in the problem
whose ordinate is one one and a half
times its
abscissa okay so abscissa is nothing but
x coordinate and
ordinate is nothing but y coordinate
okay
so y value so given that so y value
is one one and a half times its abscissa
that is
x value okay i am changing this uh
this uh fraction uh this mixed
refraction
into improper fraction 2 1 0 2 plus 1
it is 3 upon 2 times x okay
so now i am substituting
substituting
y is equals to 3 by 2 x
x in equation
in equation 2x plus 5y
equals to 19 okay so this is
2x plus 5 into
y value is 3 upon 2 x
is equals to 19 okay so this is 2 x
plus 5 3 0 15
upon 2 times x equals to 19 and
if we take lcm so 2 2 4
x 4 x plus 15
x upon 2 equals to
19 okay so this is 19 x
okay so this is 19 x
4 plus 15 it is 19 x upon 2 equals to 19
and 19 19 will be cancelled out okay
so we can cancel 19 and 19 both are in
the numerator
that is y okay so therefore x value is
is equals to 2 okay so now if we
substitute if sub
if we substitute
substitute x is equals to
2 then so 2 into
2 plus 5 y equals to
19 so that 5 y equals to 19 minus
4 the value is 15 and y is equals to 15
by 5 the value is 3 okay
so the given point determine the point
the point
on graph is point is equals to
it is in the form of coordinate x comma
y
x value is 2 y value is 3 okay
so that's all hope you understand if you
have further questions
reach us at comment section and
subscribe to the channel leader learning
for further queries
thank you"

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