Question

5x – 3y = 8; 3x + y = 2

5x - 3y = 8 . . . . (1)

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

Multiplying both sides of equation (2) by 3

9x + 3y = 6 . . . (3)
5x - 3y = 8 . . . (1)

Now let us add equation (1) and (3)

5x - 3y = 8
+9x + 3y = 6
14x = 14
.°. x = 1
substituting x = 1 in equation (2)
3x + y = 2
.°. 3 × 1 + y = 2
.°. 3 + y = 2
y = -1
solution is x = 1, y = -1; it is also written as (x, y) = (1, -1)​

Answer 1

Answer:

x=1, y=-1

Step-by-step explanation:

5x - 3y = 8 . . . . (1)

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

Multiplying both sides of equation (2) by 3

9x + 3y = 6 . . . (3)

5x - 3y = 8 . . . (1)

Now let us add equation (1) and (3)

5x - 3y = 8

+9x + 3y = 6

14x = 14

.°. x = 1

substituting x = 1 in equation (2)

3x + y = 2

.°. 3 × 1 + y = 2

.°. 3 + y = 2

y = -1

solution is x = 1, y = -1; it is also written as (x, y) = (1, -1)​