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Alexeev081 [22]
3 years ago
15

Which pair of words describes this system of equations 3y=9x-6 2y+6x=4

Mathematics
1 answer:
pishuonlain [190]3 years ago
6 0

Answer:

Consistent and dependent

Step-by-step explanation:

Given

3y = 9x - 6

2y + 6x = 4

Required

The words that describe the equations

Make y the subject in (2)

2y + 6x = 4

Collect like terms

2y = 4 - 6x

Divide through by 2

y = 2 - 3x

Substitute: y = 2 - 3x in (1)

3y = 9x - 6

3(2 - 3x) = 9x - 6

6 - 9x = 9x - 6

Collect like terms

9x+9x = 6+6

18x = 12

Solve for x

x = \frac{12}{18}

Simplify

x = \frac{2}{3}

Substitute x = \frac{2}{3} in y = 2 - 3x

y = 2 - 3*\frac{2}{3}

y = 2 - 2

y =0

So, we have:

x = \frac{2}{3} and y =0

<em>The system is consistent because it has at least 1 solution</em>

<em>The system is dependent because it has more than 1 solution</em>

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