Summer Algebra 5.1 and 5.2

How many solutions does this system have? (ex. 0, 1, 2, infinitely many) y=-2x-7 y=-2x+5

0

How many solutions does this system have? (ex. 0, 1, 2, infinitely many) y=-3x+4 y=-1/2x +1

1

How many solutions does this system have? (ex. 0, 1, 2, infinitely many) y=x-2 2x-2y=4

Infinitely many

Is (-3,-1) a solution to the equation 4x-y=-7?

No

Is (4,13) a solution to the system... 3x-y=-1 y=5x-8

No

Is (-1,3) a solution to the equation 4x-y=-7?

Yes

Solve using ANY METHOD. 6x-2y=24 y=3x-12

all real numbers

Solve using elimination. 3x+2y=0 -3x-y=3

(-2,3)

SOLVE 2x+5y+2z=0 4x-7y-3z=1 3x-8y-2z=-6

(0,2,-5)

Solve using elimination. x+4y=16 3x+5y=20

(0,4)

Solve using ANY METHOD. −10x+3y=5 x=y−4

(0,5)

SOLVE 4x-y=2 3y+z=9 x+2z=7

(1,2,3)

SOLVE 3x+2y+z=8 2x-3y+2z=-16 x+4y-z=20

(1,4,-3)

Solve using ANY METHOD −5x+2y=9 y=7x

(1,7)

Solve using ANY METHOD. 5x−4y=−10 y=2x−5

(10,15)

Solve using ANY METHOD. 3x-2y=3 -4x+3y=1

(11,15)

SOLVE x+2y+3z=1 -x-y+3z=2 -6x+y+z=-2

(20/59, -33/59, 35/59)

Solve using substitution. y=2x+4 6x-y=8

(3,10)

SOLVE 2x-5y+3z=-1 x+4y-2z=9 x-2y-4z=-5

(3,2,1)

Solve using ANY METHOD 3y+10x−54=0 5y−2x−34=0

(3,8)

Solve using ANY METHOD. 1/2x+1/3y=3 3x-8y=-12

(4,3)

Solve using ANY METHOD −5y+6x=40 3y−8x=−46

(5,-2)

Solve using substitution. 3x+2y=27 x=y+4

(7,3)

Solve using ANY METHOD −3y−4x=−11 3y−5x=−61

(8,-7)

SOLVE 3x-5y+2z=1 5x+8y-z=4 -6x+10y-4z=5

∅

Solve using ANY METHOD. 2x-3y=2 6x-9y=-1

∅