Solve using any appropriate method. If the system has an infinite number of solutions, use set-builder notation to write the solution set. If the system has no solution, state this
13) 4x + 8y = 8
5x + 7y = 1
A) (-8,6)
B) (4,3)
C) (-4,3)
D) No solution
14) 7x + 7y = 8
5x + 5y = 10
A) (10,5)
D) (1,1)
C) {(x, y)|7x + 7y = 8)
B) No solution
15) y = 3x + 4
5x + y = -92
A) No solution
C) (4,8)
B) ((x, y) 5x + y = -92)
D) (-4,-8)
16) 0.4x + 0.4y = 4
0.4x - 0.4y = 1
D)
B)
(659
0(*)
C) (1.4)
D) {x, y) x = 7+ 4y}
17) x - 4y = 1
x= 7+ 4y
A) No solution
B) {(x, y)|x - 4y = 1)

Explanation:

13)

---- (1)

------ (2)

Multiply equation by 5 and equation 2 by 4

------ (3)

------ (4)

Subtract equation 3 from 4

Divide both sides by -12

Substitute in equation 1

Subtract 24 from both sides

Divide both sides by 4

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14)

---- (1)

----- (2)

Make x the subject of formula in (2)

Substitute in (1)

Open bracket

At this point, we conclude that thee system has no solution.

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15)

--- 1

----2

Substitute in (2)

Subtract 4 from both sides

Divide both sides by 8

Substitute in equation 1

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16)

Add both equations

Divide both sides by 0.8

Substitute in (1)

Subtract 2.5 from both sides

Divide both sides by 0.4

----------------------------------------------

17)

Substitute in (1)

At this point, we conclude that thee system has no solution.

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