Question

3x + 5y - 8 = 0
9x = 2y + 7
Solve by elimination method.​

Answer 1

Given

There are two equations provided here.

3x – 5y – 8 = 0

3x -5y = 8……. (1).

9x = 2y + 7

9x -2y = 7 ……(2).

Find out

We have to solve for x and y in the given equations by the elimination method

Now only considering equations (1) and (2)

3x – 5y = 8………(1)

9x – 2y = 7 ……(2)

On multiplying eq. (1) by 3, we get….

3 (3x – 5y = 4)

9x – 15y = 24…… (3).

Now we can easily subtract (2) and (3) to get…..

9x – 2y = 7

– 9x – 15y = 24.

– +13 y = -17

Or we get 13 y = -17 or y = -17/13.

Now we substitute the value of Y = -5/13 in equation (1) we get the value of x.

3x – 17(-17/13) = 8

3x +289/13 = 8

39x + 289= 104

Or 39x = 104– 289

39x = -185

Or x = -185/39 = 9 / 13

So x = 9/13 and y = -5/13.

Answer

x = 9/13 and y = -5/13 for 3x – 5y – 4 = 0 and 9x = 2y + 7

Answer 2

Answer:

x=1. y=1

Step-by-step explanation:

3x + 5y =8. ×3

9x-2y=7. ×(-)

9x+15y =24

-9x +2y =-7

17y=17

y=1

put the value of y in equation 1

3x + 5y =8

x=8-5y÷3

x=8-5(1)÷3

x=8-5÷3

x=3÷3

x=1

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