Х+у= 9
2x – Зу = 8
someone plz solve

Step-by-step explanation:

Given,

x + y = 9

2x - 3y = 8

Using substitution method:

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

Move y to right hand side and change it's sign

⇒⇔equation ( i )

Now, put the value of X from equation ( i )

⇒

Distribute 2 through the parentheses

⇒

Collect like terms

⇒

Move constant to right hand side and change it's sign

⇒

Calculate

⇒

Divide both sides of the equation by -5

⇒

Calculate

⇒

Now, Put the value of y in the equation ( i )

⇒

Calculate the difference

⇒

Hence, x = 7 and y = 2

The possible solution of the system is the ordered pair ( x , y )

---------------------------------------------------------

Check if the given ordered pair is the solution of the system of equation

⇒

⇒

Simplify the equalities

⇒

⇒

Since all of the equalities are true , the ordered pair is the solution of the system.

Hope I helped!

Best regards!!

a - base

b - exponent

so,