Answer:
9 essay questions.
Step-by-step explanation:
We have been given that ada’s history teacher writes a test for the class with 26 questions. We can represent this information in an equation as:
x+y=26
We are also told that multiple choice worth 3 points each, so total number of points for x questions will be 3x.
As essays worth 8 points each, so total number of points for y questions will be 8y.
Since the test is worth 123 points, so we can represent this information in an equation as:
3x + 8y= 123
Now we will use substitution method to solve system of linear equations.
From equation (1) we will get,
x=26-y
Substituting this value in equation (2) we will get,
3×(26-y)+8y=123
78-3y+8y=123
78+5y=123
Let us subtract 78 from both sides of our equation.
78-78+5y=123-78
5y=45
Let us divide both sides of our equation by 5.
5y/5=45/5
y=9
