Benjamin has enough icing to cover a 12-square-foot cake. He wants to use the icing to cover 2 equal-sized cakes. Which expression shows the size of each of two cakes that Benjamin can cover with the icing?

Explanation:

The area of each of the 2 equal-sized cakes shall be half of 12 ft²:

The area of a square shape is equal to the side length squared. Naming x the side length, you have the expression for the side length:

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18