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Ratling [72]
3 years ago
14

Solve the system using substitution. Check your answer. 9x - 8y = 1 8y = x-1

Mathematics
2 answers:
koban [17]3 years ago
8 0

Answer:

all work is shown and pictured

vampirchik [111]3 years ago
5 0

Answer:

x = 0 and y =- \frac{1}{8}

The solution to the system of   the equation is (0, - \frac{1}{8} )

Step-by-step explanation:

9x - 8y = 1  ----------------------------------(1)

8y = x-1----------------------------------------(2)

From equation (2)  

8y = x -1

we will make x the subject of the formula, we will do this by adding 1 to both-side of the equation

8y + 1 = x -1 + 1

8y  + 1 = x

x = 8y + 1 ----------------------------------------(3)

Substitute equation (3) in equation (1)

9x - 8y = 1  

9(8y + 1)  -  8y  =  1

Open the bracket by multiplying 9 with all the values in the bracket

72y + 9 - 8y = 1

Rearrange the equation

72y - 8y + 9 = 1

64y + 9 = 1

subtract 9 from both-side of the equation

64y + 9 -9 = 1 - 9

64y = -8

Divide both-side of the equation by 64

64y/64 = -8/64

y= -\frac{1}{8}

Substitute y=- \frac{1}{8}  in equation (3)

x = 8y + 1

x = 8(- \frac{1}{8} )  + 1

x = -1 + 1

x = 0

Therefore x = 0 and y = -\frac{1}{8}

The solution to the system of   the equation is (0, - \frac{1}{8} )

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