Question

*Find the value of x for the given simultaneous equations x + 2y = 19 ; x - y = 7*

1️⃣ 4
2️⃣ -11
3️⃣ 11
4️⃣ -4​

Answer 1

Answer:

11

Step-by-step explanation:

x-y=7

y=x-7

x+2y=19

So, x+2(x-7)=19

x+2x-14=19

3x=19+14

x=33/3

=> x=11

Answer 2

Given:

The simultaneous equations are: x + 2y = 19 ; x - y = 7

To find:

The value of x.

Solution:

First we fill find the value of y in terms of x from the second equation:

x - y= 7

On re-arranging we get:

y = x-7

Putting the value of y in the first equation, we get:

x + 2(x-7) = 19

x+2x-14=19

3x= 19+14

3x= 33

x= 11

And the value if y will be:

y= x+7

y= 11 + 7

y = 18

Therefore the value of x from the given simultaneous equations will be x= 11, hence option 3 is correct.