1) Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. ()) Yesterday a chef used 26 eggs to make 1 chocolate souffle and 8 lemon meringue pies. The day before, he made 10 chocolate souffles and 5 lemon meringue pies, which used 35 eggs. How many eggs does each dessert require? eggs.

Let \( x \) be the number of eggs needed for one chocolate souffle and \( y \) be the number of eggs needed for one lemon meringue pie. From the information given, we can write the following system of equations: 1) \( x + 8y = 26 \) (for the first day) 2) \( 10x + 5y = 35 \) (for the second day) Now, we can solve this system. First, let's simplify the second equation by dividing everything by 5: \[ 2x + y = 7 \] Now we have: 1) \( x + 8y = 26 \) 2) \( 2x + y = 7 \) Next, we can solve the second equation for \( y \): \[ y = 7 - 2x \] Now, substitute \( y \) back into the first equation: \[ x + 8(7 - 2x) = 26 \] \[ x + 56 - 16x = 26 \] \[ -15x + 56 = 26 \] \[ -15x = 26 - 56 \] \[ -15x = -30 \] \[ x = 2 \] Now plug \( x = 2 \) back into the equation for \( y \): \[ y = 7 - 2(2) \] \[ y = 7 - 4 \] \[ y = 3 \] Therefore, one chocolate souffle requires **2** eggs and one lemon meringue pie requires **3** eggs.