Choose the correct equation type for each system.
-inconsistent
-equivalent
-consistent

Inconsistent= 1, & 3

Equivalent= 2&6

Consistent= 4&5

Step-by-step explanation:

Equivalent means both sides of the equation has similar results

Consistent means the equation has an order pair of x, y that make it true

Inconsistent means impossible to solve using a set of values for the variable

1. y=3x-2

  3x-y=4make y subject of equation as 3x-4=y

Equate the two equation

y=3x-2

y=3x-4

3x-2=3x-4collect like terms

3x-3x=-4+2

0=-2inconsistent

2. 1/2 y=-x+5multiply by 2 both sides to have y=-2x+10

    2y=-4x+2

we have

y=-2x+10use y in this equation in the second equation

2y=-4x+20

2(-2x+10)=-4x+20

-4x+20=-4x+20Equivalent

3. y=-x+4use this in the second equation as

   x=-y-6

x= - (-x+4)-6

x= x-4-6

x=x-10collect like terms

x-x= -10

0= -10inconsistent

4. y=4x+2

   y=6x-10equate the two

4x+2=6x-10collect like terms

4x-6x=-10-2

-2x=-12

x=6use to find y

y=4(6)+2=24+2=26

(x,y)=(6,26)consistent

5. y=2x+1

   y=-2x+3

Equate the two equation

2x+1=-2x+3collect like terms

2x+2x=3-1

4x=2

x=1/2use to find y

y=2 *1/2 +1 =1+1=2

(x,y) = (1/2, 2)consistent

6. -2x +5y=0

   y=2/5xuse this in the first equation

   -2x + 5(2/5 x)=0

   -2x+2x =0

0=0Equivalent

step-by-step explanation:

25.3

step-by-step explanation:

1st step

add 3+6

=9

multipy 9*3

=37