what is the value of x in the equation 2x + 3y = 36, when y = 6? 8 9 27 36

Explanation:

Step1: Substitute ( y = 6 ) into the equation

Substitute ( y = 6 ) into ( 2x+3y = 36 ), we get ( 2x+3\times6 = 36 ).

Step2: Simplify the equation

Simplify ( 3\times6 = 18 ), so the equation becomes ( 2x + 18=36 ).

Step3: Isolate the term with ( x )

Subtract 18 from both sides: ( 2x=36 - 18 ). ( 36-18 = 18 ), so ( 2x=18 ).

Step4: Solve for ( x )

Divide both sides by 2: ( x=\frac{18}{2} ).

Answer:

( x = 9 ), so the answer is 9.