The cost of 2 notebooks and a package of pencils is $7.00. The cost of (September 2023 - G01)

Correct answer: H. $4.00.
We can solve this system in two ways:

Method 1: Elimination
Notice that both equations have y alone on one side. We can eliminate y by subtracting them when the y coefficients have opposite signs.
Subtracting equation 1 from equation 2:

(3x + 2y) - (2x + 1y) = 11 - 7
This simplifies to: x + y = 4

Method 2: Substitution
Solve equation 1 for y (isolate y).
y = 7 - 2x

Substitute this expression for y in equation 2.
3x + 2(7 - 2x) = 11 (Replace y with the expression we found)

Solve the resulting equation for x in either method.

Both methods will lead you to find x = 3 (the cost of 1 notebook).

Find the cost of 1 package of pencils (y):
Now that you know x = 3, substitute this value back into either equation 1 or equation 2.

Using equation 1:
2(3) + 1y = 7
6 + 1y = 7
1y = 1
y = 1 (the cost of 1 package of pencils)

Therefore, the cost of 1 notebook and 1 package of pencils is $3 (cost of notebook) + $1 (cost of pencils) = $4.00.