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My name is Ann [436]
3 years ago
13

2x+8y=54 x+9y=67 Solve the system by subtitution

Mathematics
1 answer:
Kisachek [45]3 years ago
3 0

Step-by-step explanation:

2x +8y = 54

x + 9y = 67

x = 67 - 9y

2(67-9y) + 8y = 54

434 - 18y + 8y = 54

434 - 10y = 54

10y = 54 - 434

10y = -380

y = -38

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Read 2 more answers
Which coordinate pairs make the equation x-9y=12 true?
asambeis [7]

Answer:

(12,0) and (3, -1) and (0,-4/3)

Step-by-step explanation:

To find if a point makes an equation true, just substitute its x and y values in in the equation and simplify.

1) Let's test the point (12,0). Substitute 12 for x and 0 for y in the equation:

x-9y=12\\(12)-9(0)=12\\12-0=12\\12=12

12 does equal 12, so (12,0) makes the equation true.

2) Let's test the point (0, 12). Substitute 0 for x and 12 for y in the equation:

x-9y=12\\(0)-9(12) = 12\\0-108 = 12\\-108 = 12

However, -108 does not equal 12, so (0,12) does not make the equation true.

3) Let's test the point (3, -1). Substitute 3 for x and -1 for y in the equation:

x-9y=12\\(3)-9(-1) = 12\\3 + 9 = 12\\12 = 12

12 does equal 12, so (3, -1) makes the equation true.

4) Let's test the point (0, -4/3). Substitute 0 for x and -4/3 for y in the equation:

(0) -9(-\frac{4}{3} ) = 12\\0 + \frac{36}{3} = 12\\0 + 12 = 12 \\12 = 12

12 does equal 12, so (0, -4/3) makes the equation true.

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Step-by-step explanation:

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