Which system of equations does NOT have the same solution as the system below? 3 x + 5 y = 10 3x\ +\ 5y\ =10 3 x + 5 y = 1 0 − x + 4 y = − 3 -x\ +4y\ =-3 − x + 4 y = − 3

6 x + 10 y = 20 6x\ +\ 10y\ =\ 20 6 x + 1 0 y = 2 0 − 3 x + 12 y = − 3 -3x\ +12y\ =-3 − 3 x + 1 2 y = − 3

30 x + 50 y = 100 30x\ +50\ y\ =100 3 0 x + 5 0 y = 1 0 0 − 10 x + 40 y = − 30 -10x\ +\ 40y\ =-30 − 1 0 x + 4 0 y = − 3 0

18 x + 30 y = 60 18x\ +30y\ =60 1 8 x + 3 0 y = 6 0 − 6 x + 24 y = − 18 -6x\ +24y\ =-18 − 6 x + 2 4 y = − 1 8

− 15 x − 25 y = − 50 -15x\ -25y\ =\ -50 − 1 5 x − 2 5 y = − 5 0 − 1 2 x + 2 y = − 3 2 -\frac{1}{2}x+2y\ =-\frac{3}{2} − 2 1 x + 2 y = − 2 3

How do we know if a system of equations has no solution?

The lines are not in slope-intercept form (y=mx+b)

The lines have the same slope and y-intercept

Which of these systems has an infinite number of solutions?

y = 3 x + 4 y=3x+4 y = 3 x + 4 − 12 x + 4 y = 16 -12x+4y=16 − 1 2 x + 4 y = 1 6

y = − 2 x + 1 y=-2x+1 y = − 2 x + 1 y = − 2 x − 3 y=-2x-3 y = − 2 x − 3

x + 2 y = 10 x+2y=10 x + 2 y = 1 0 2 x + 4 y = 10 2x+4y=10 2 x + 4 y = 1 0

y = 2 x + 6 y=2x+6 y = 2 x + 6 4 x − 2 y = 8 4x-2y=8 4 x − 2 y = 8

Is (-1,5) a solution to this system of equations?

x + y = 4 x+y=4 x + y = 4 x = − 1 x=-1 x = − 1

y = − x + 4 y=-x+4 y = − x + 4 y = − 1 5 x y=-\frac{1}{5}x y = − 5 1 x

y = 5 y=5 y = 5 y = x − 6 y=x-6 y = x − 6

y = x + 6 y=x+6 y = x + 6 x = 2 y + 7 x=2y+7 x = 2 y + 7

Graphically, the pair of equations 6x – 3y + 10 = 0 , 2x – y + 9 = 0 represents two lines which are

intersecting at exactly one point

intersecting at exactly two points.

Pair of Linear Equations in Two Variables

Authored by Jyothi Kumar M

Mathematics

10th Grade

CCSS covered

Used 711+ times

Pair of Linear Equations in Two Variables

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Does the following system have One Solution, No Solution, or Infinite Solutions.
y = 4x + 8
y = -5x + 3

One solution

No solution

Infinite solution

many solutions

Tags

CCSS.8.EE.C.8B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Parallel lines have the same slope with a different y-intercept and how many solutions?

One

Infinite

Many

Tags

CCSS.8.EE.C.8B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Shreyas graphed two lines in order to find the solution to a given system of equations.Then the solution is......

(-1, 4)

(1, -4)

(-4, 1)

(4, -1)

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve for x and y
y = 2x + 1
y = 4x - 1

(1,3)

(-1,-3)

(-1,3)

(3,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

There are 50 Donkeys and chickens on a farm. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?

d + c = 174

4d + 2c = 50

d + c = 50

4d + 2c = 174

d + c = 50

2d + 4c = 174

d + c = 174

2d + 4c = 50

Tags

CCSS.8.EE.C.8C

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve for x and y
3x + 2y = 16
7x + y = 19

(-2,5)

(-2,-5)

(2,-5)

(2,5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the solution to the system?
8x + 4y = 12
y = -2x + 3

(0,3)

(3,0)

No solution(parallel lines)

Infinitely many solutions

Tags

CCSS.8.EE.C.8B

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Pair of Linear Equations in Two Variables

Does the following system have One Solution, No Solution, or Infinite Solutions.
y = 4x + 8
y = -5x + 3

Parallel lines have the same slope with a different y-intercept and how many solutions?

Shreyas graphed two lines in order to find the solution to a given system of equations.Then the solution is......

Solve for x and y
y = 2x + 1
y = 4x - 1

There are 50 Donkeys and chickens on a farm. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?

Solve for x and y
3x + 2y = 16
7x + y = 19

What is the solution to the system?
8x + 4y = 12
y = -2x + 3

Which of the following are ways to solve systems of equations?

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

Anjali finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. How long does it take her to do a haircut?
3x + 2y = 315
2x + 4y = 450

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Pair of Linear Equations in Two Variables

Does the following system have One Solution, No Solution, or Infinite Solutions. y = 4x + 8y = -5x + 3

Parallel lines have the same slope with a different y-intercept and how many solutions?

Shreyas graphed two lines in order to find the solution to a given system of equations.Then the solution is......

Solve for x and yy = 2x + 1y = 4x - 1

There are 50 Donkeys and chickens on a farm. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?

Solve for x and y3x + 2y = 167x + y = 19

What is the solution to the system?8x + 4y = 12y = -2x + 3

Which of the following are ways to solve systems of equations?

Determine if (4, 1) is a solution for the system of equations.y = -x + 5y = 2x - 7

Anjali finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. How long does it take her to do a haircut?3x + 2y = 3152x + 4y = 450

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Does the following system have One Solution, No Solution, or Infinite Solutions.
y = 4x + 8
y = -5x + 3

Solve for x and y
y = 2x + 1
y = 4x - 1

Solve for x and y
3x + 2y = 16
7x + y = 19

What is the solution to the system?
8x + 4y = 12
y = -2x + 3

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

Anjali finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. How long does it take her to do a haircut?
3x + 2y = 315
2x + 4y = 450