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match each system with its solution setoptions:A. (8, 2)B. no solutionC. infinite solutionsD. (2, 8)

Match Each System With Its Solution SetoptionsA 8 2B No SolutionC Infinite SolutionsD 2 8 class=

Sagot :

• 1.

x+y=3

2x+2y= 6

Multiply the first equation by 2, and then subtract both equations.

2x+2y=6

-

2x+2y=6

_______

0x+0y=0

0

Since both variables are eliminated, there are INIFINITE SOLUTIONS

• 2.

y= 2x-3

-2x+y=6

Put the first equation into the second equation, (replace y )

-2x+(2x-3) = 6

Solve for x

-2x+2x-3=6

-3= 6

Since -3 is not equal to 6, there is NO SOLUTION.

• 3.

X+3y = 14

-5x+6y=-28

Multiply the first equation by 2, then subtract the equations:

2x+6y=28

-

-5x+6y=-28

_________

7x= 56

x= 56/7

x= 8

Replace x=8 on any equation and solve for y:

8+3y= 14

3y=14-8

3y= 6

y=6/3

y=2

Solution = (8,2)

• 4.

-1/2x+3y=23

y=5x-2

Put the second equation into the first equation ( replace y) and solve for x

-1/2x + 3 (5x-2)= 23

-1/2x+ 15x - 6 = 23

-1/2x +15x = 23+ 6

29/2 x = 29

x = 29/ (29/2)

x = 2

Replace x on any equation and solve for y

y= 5x-2

y=5(2)-2

y= 10-2

y=8

Solution: (2,8)

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