System of Equations & Inequalities

$$5x+4\left(-7x-15\right)=-14$$  

$$5\left(-7x-15\right)+4y=-14$$  

$$5x+4y=-7x-15$$  

$$5x+7x-15=-14$$  

$$10y=56$$

$$No\ Solution$$

$$8x+8y=0$$

$$8y=0$$

(0, 3)

(1, -1)

(-3, 1)

(1, 3)

No solution

One Solution

I Don't Know

Infinitely Many Solutions

you will have no solution.

you will have one solution.

you will have infinite solutions.

you will graph a giraffe.

you will have no solution.

you will have one solution.

you will have infinite solutions.

you will graph a giraffe.

1

-2

(1, 2)

(1, -1)

Yes, it is a solution to the system of equations

No, it only satisfies the first equation, and fails to satisfy the second.

No, it only satisfies the second equation, and fails to satisfy the first.

No, it fails to satisfy both equations

Yes, it is a solution to the system of equations

No, it only satisfies the first equation, and fails to satisfy the second.

No, it only satisfies the second equation, and fails to satisfy the first.

No, it fails to satisfy both equations

(0,1)

(0,2)

(-2,0)

(2,0)

(0,1) is a solution

(0, 1) is not a solution.

(0, -2)

(-3, 0)

(-3, 2)

(1, 1)

x + y ≥ 25

x + y ≤ 8

100x + 25 y ≤ 100

2x + 8y ≤ 14

x + y ≥ 100

8x + 25y ≤ 14

8x + 25y ≥ 100

x + y ≤ 14

x+y≤300

7.5x+5.5y≥2000

x+y<300

7.5x+5.5y≥2000

x+y≤300

7.5x+5.5y≤2000

x+y>2000

7.5x+5.5y≤300

(0, 0), (0, 6), (6, 2), (8, 0)

(0, 0), (6, 0), (2, 6), (0, 8)

(-6, 30)

(-2, 10)

(44, 39)

No solution