Question

Topic: Solving linear equations by Substitution method
Solve the linear equations x+y=7 ; x-y=3 by Substitution method
Take x+y=7 -----------1
x-y=3 -------------2
From 1 write the equation as x in terms of y (keep x in one side other terms in other side)
x=7-y ---------- 3
Now substitute 3 in 2
Equation 2 is x-y = 3
(7-y) – y =3 ⇒ 7-2y=3
⇒ -2y=3-7 ⇒ -2y=-4
y=(-4)/(-2) = 2
Now substitude y=2 in 1
Equation 1 is x+y=7
⇒ X+2=7 ⇒ X=7-2
⇒X=5
Solution is x= 5 and y=2

Practice problems
Solve the following linear equations by substitution method
x+y=6 ; x-y=4
x+y=11 ; x-y= 5
x+2y=6 ; x-y= 3

Answer 1

Step-by-step explanation:

x+y=6------1

1. x-y=4------2

from 2 x=4+y substitute in eq.1

4+y+y=6

2y=2

y=1,x=5

2.x+y=11------1

x-y=5-----------2

from 2 x=5+y substitute in eq.1

5+y+y=11

2y=6

y=3,x=8

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