Determine the slope and y-intercept.

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which system of equations could be used to determine the cost of the coffee, c and doughnuts, d?

Find the solution to the system.
y = x-6
y = -3x + 2

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which system of equations can be used to determine s, the number of senior citizen tickets sold and c, the number of children tickets sold?

So here we used the concept of system of equations in two variable. Here in the question the variable quantity was 2 so two variables are there. So the system of equations are: 3s + 1c = 38, 3s + 2c = 52

You can tell if a point is a solution to a system by,

Identify the solution to this system of equations.

The ordered pair that satisfies all equations in the system.

Find the slope in the equation y=2x + 3.

Find the solution to this system of equations.

Identify the equation of this line.

The solution among the follwong system of inequations is
y < 2x + 3 and y ≤ 3x + 1

The point that is not a solution of the system of linear inequations is
y < – 2x – 5 and 4x – y < 3

Determine the value of n that makes a system of equations with a solution that has y – value of 2.
5x + 6y = 32
2x + ny = 18

From the graph the solution of system of equations is

In a basketball game, the Bulldogs make a total of 21 shots. Some of the shots are 2 – point shots and some are 3 – point shots. The Bulldogs score a total of 50 points. The number of  2 – point and 3 – point shots did they made is

The solution of system of equations
6x – 5y = – 1 and 6x + 4y = –10 is