Question

5x+3y equal to 29, 10x-9y equal to 13 by elimination method​

Answer 1

Answer:

x=4, y=9

Step-by-step explanation:

5x+3y=29   (X3) => 15x+9y=87 - Let be equation 1

10x-9y=13 - let be equation 2

Now, adding equation 1 and 2, we get:

25x=100 , which means x=4

Substituting x in either of the original equation, you get y=9

So therefore, x=4, y=9

Answer 2

Answer:

Given :-

• 5x + 3y = 29 and 10x - 9y = 13 by elimination method.

Solution :-

5x + 3y = 29 . . . . (1)

10x - 9y = 13 . . . . (2)

Multiply equation (1) by 3, we get

15x + 9y = 87 . . . . (3)

10x - 9y = 13 . . . . (4)

Adding (3) and (4) we get

15x + 9y = 87

10x - 9y = 13

___________

25x = 100

x = 100/25

x = 4

Substituting the value of x = 4 in equation (1) we get,

5x + 3y = 29

➭ 5 × (4) + 3y = 29

➭ 20 + 3y = 29

➭ 3y = 29 - 20

➭ 3y = 9

➭ y = 9/3

➭ y = 3

∴ The value of x = 4, y = 3 is the solution of the system of the given equations.