the party planning committee has to determine the number of tables needed for an upcoming event. if a square…

the party planning committee has to determine the number of tables needed for an upcoming event. if a square table can fit 8 people and a round table can fit 6 people, the equation 150 = 8x + 6y represents the number of each type of table needed for 150 people. the variable x represents the number of the variable y represents the number of if y = 9, find the value of x. the committee needs square tables.

the party planning committee has to determine the number of tables needed for an upcoming event. if a square table can fit 8 people and a round table can fit 6 people, the equation 150 = 8x + 6y represents the number of each type of table needed for 150 people. the variable x represents the number of the variable y represents the number of if y = 9, find the value of x. the committee needs square tables.

Answer

Explanation:

Step1: Substitute ( y = 9 ) into the equation

Given the equation ( 150=8x + 6y ), when ( y = 9 ), we get ( 150=8x+6\times9 ).

Step2: Simplify the right - hand side

Calculate ( 6\times9 = 54 ), so the equation becomes ( 150=8x + 54 ).

Step3: Isolate the term with ( x )

Subtract 54 from both sides: ( 150-54=8x+54 - 54 ), which simplifies to ( 96 = 8x ).

Step4: Solve for ( x )

Divide both sides by 8: ( x=\frac{96}{8} ).

Answer:

The variable ( x ) represents the number of square tables. The variable ( y ) represents the number of round tables. When ( y = 9 ), ( x = 12 ).