Question

14. If x=a and y=b is the solution of equations x-
y=2 and x+y=4, then the value of a+2b is
2
3
4
5​

Answer 1

Answer:

answer= 5

hope it helps you

Step-by-step explanation:

x+y+x-y =4+2

2x=6

x=3

y=1

a+2b=(3+2)

=5

Answer 2

       $\underline{\bold{Solution:}}$

       $\text{The two given equations are:}$

       $x-y = 2 \text{ ------ (i)}$

       $x+y = 4 \text{ ------ (ii)}$

       $x = a \text{ and }y = b \text{ is the solution of (i) and (ii)}$

       $\text{First, lets solve (i) and (ii)}$

       $\text{Adding (i) and (ii)}$

$\implies x - y + x + y = 2 + 4$

       $\text{Simplifying...}$

$\implies 2x = 6$

       $\text{Transposing 2 to R.H.S and simplifying...}$

$\implies x = 3$

       $\text{Substituting in (i)}$

$\implies 3 - y = 2$

       $\text{Transposing 3 to R.H.S and simplifying...}$

$\implies -y = -1$

       $\text{Simplifying...}$

$\implies y = 1$

$\implies a = x = 3 \text{ and }b = y = 1$

$\implies \boxed{a + 2b = 3 + 2(1) = 3 +2 = 5}$