Question

Could someone pls send me an example of using the substitution method in algebra?

Answer 1

in this method a variable is expressed in terms of another variable from one equation and it is substituted in remaining equation.

Explanation:

solve:x+2y=9 and 3x-y=13.

x+ 2y=9…be the first equation

3x-y=13…be the second equation

from first equation

x=9-2y…be the third equation substituting value of x from third equation in second equation, we get

3(9-2y)-y=13

or, 27-6y-y=13

or, y=2

now,

substituting value of y in third equation, we get,

x=9-2×2

=9-4

=5

the required value of x and y are 5&2