Question

linear equation
2x = 3y , 2x+3y = 60​

Answer 1

Answer:

we have...2x=3y ,2x+3y=60

let, 2x=3y......(1)

2x+3y=60...(2)

put the value of x in equation...(2)

3y+3y=60

6y=60

y=10

now ... put the value of y in equation...(1)

2x=3(10)

2x=30

x=15

so....x=15 and y=10

Answer 2

Answer) x = 15, y = 10

Given: 2x = 3y (let it be equation I)

           2x + 3y = 60 (let this be equation ii)

To Find: The values of x and y

Solution:

Substituting the value of 2x in equation ii,

3y + 3y = 60

⇒ 6y = 60

⇒ y = $\frac{60}{6}$

⇒ y= 10

Substituting the value of y in equation I,

2x = 3 (10)

⇒ 2x = 30

⇒ x = $\frac{30}{2}$

⇒ x = 15

Answer) x = 15, y = 10

Note

• Linear equations refer to the equations where we take two different variables in the power of 1 and substitute their values in the given equations to find the values of the variables.

• In the given question, we have the common variables x and y. We are also provided with two equations with the variables from which we can find the values of x and y.

• We need to substitute the values of the variables in the equations to solve their answer.

• If the power of the variables increases, they do not remain a linear equation anymore. They turn to quadratic equations.

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