Question

# Identify the number of solutions does this system of equations have

- One Solution
- No solution
- Infinitely Many Solutions
- Two Solutions

Hint:

### Recall what type of equations show the above kind of graph.

## The correct answer is: Infinitely Many Solutions

### The equations have infinitely many solutions.

The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept.

### Related Questions to study

### Solve the system of equations by graphing.

An equation with no solution is one that is never true, regardless of which values we choose for the variables in the equation.

### Solve the system of equations by graphing.

An equation with no solution is one that is never true, regardless of which values we choose for the variables in the equation.

### Find the solution.

### Find the solution.

### One wall inside a shoe store is used to display walking shoes and running shoes. There are 135 pairs of shoes in this display. There are 1.5 times as many pairs of walking shoes as there are running shoes on display. How many pairs of walking shoes and running shoes are on display?

### One wall inside a shoe store is used to display walking shoes and running shoes. There are 135 pairs of shoes in this display. There are 1.5 times as many pairs of walking shoes as there are running shoes on display. How many pairs of walking shoes and running shoes are on display?

### A drummer and guitarist each wrote songs for their band. The guitarist wrote 8 fewer than twice the number of songs that the drummer wrote. They wrote a total of 46 songs. Which system of equations models this situation if the drummer wrote d songs and the guitarist wrote g songs?

### A drummer and guitarist each wrote songs for their band. The guitarist wrote 8 fewer than twice the number of songs that the drummer wrote. They wrote a total of 46 songs. Which system of equations models this situation if the drummer wrote d songs and the guitarist wrote g songs?

### There are 31 members on the bowling team. There are 3 more girls than twice the number of boys. Which of the following system of equations can be used to find the number of boys, b and the number of girls, g?

### There are 31 members on the bowling team. There are 3 more girls than twice the number of boys. Which of the following system of equations can be used to find the number of boys, b and the number of girls, g?

### If m=3 and b=6, find the correct slope intercept equation.

### If m=3 and b=6, find the correct slope intercept equation.

### The length, L , of a rectangle is 8 ft more than 6 times the width,W . The perimeter is 156 ft. Which system of equations best expresses this relationship?

### The length, L , of a rectangle is 8 ft more than 6 times the width,W . The perimeter is 156 ft. Which system of equations best expresses this relationship?

### Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

### Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

### Determine the slope and y-intercept.

### 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?

### 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

### 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

### 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