Question

Solve the simultaneous equations 2x + y = 5 and 2y = x – 10.

Answer 1

X = 4
The first equation can be substituted into the second one. It would be: 2(-2x+5)=x-10 and after solving it, x = 4

Answer 2

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The given equations are :

• $2x + y = 5$

• $2y = x - 10$

From the first equation, we get :

• $2x + y = 5$

• $y = 5 - 2x$

now, let's put the value of y as (5 - 2x) in second equation to find the value of x :

• $2y = x - 10$

• $2(5 - 2x) = x - 10$

• $10 - 4x = x - 10$

• $5x = 20$

• $x = 4$

hence, value of x = 4, Plugging the value of x in second equation :

• $2y = x - 10$

• $2y = 4 - 10$

• $2y = - 6$

• $y = - 3$

so, the required values are :

• x = 4

• y = -3