A day full of math games & activities. Find one near you.

If x = a, y = b is the solution of the equations x - y = 2 and x + y = 4, then the values of a and b are, respectively
a. 3 and 5
b. 5 and 3
c. 3 and 1
d. -1 and -3

Solution:

Given, the linear equations are

x - y = 2 -------------- (1)

x + y = 4 ------------- (2)

We have to find the solutions x = a and y = b.

Adding (1) and (2),

2x = 6

x = 6/2

x = 3

Put x = 3 in (1),

3 - y = 2

y = 3 - 2

y = 1.

Therefore, the solution to the equations x = a is x = 3 and y = b is b = 1.

✦ Try This: Solve 2x + 3y = 10 and 3x - 3y = 15

Given, the equations are

2x + 3y = 10 -------- (1)

3x - 3y = 15 --------- (2)

We have to find the solution to the equations.

Adding (1) and (2),

2x + 3x = 10 + 15

5x = 25

x = 25/5

x = 5

Put x = 5 in (2)

3(5) - 3y = 15

15 - 3y = 15

3y = 15 - 15

3y = 0

y = 0

Therefore, the solution is x = 5 and y = 0

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 3

NCERT Exemplar Class 10 Maths Exercise 3.1 Problem 11

If x = a, y = b is the solution of the equations x - y = 2 and x + y = 4, then the values of a and b are, respectively, a. 3 and 5, b. 5 and 3, c. 3 and 1, d. -1 and -3

Summary:

If x = a, y = b is the solution of the equations x - y = 2 and x + y = 4, then the values of a and b are 3 and 1 respectively

☛ Related Questions: