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Romashka-Z-Leto [24]
2 years ago
12

Solve the system using any method. y= 2/3x -4 y= 4/3x+2

Mathematics
1 answer:
Mars2501 [29]2 years ago
7 0

The solution to the given simultaneous equation is; (-9, -10)

<h3>What is the solution to the simultaneous equations?</h3>

We want to solve the simultaneous equations;

y = ²/₃x - 4    ----(1)

y = ⁴/₃x + 2   ----(2)

Subtract eq 1 from eq 2 to get;

⁴/₃x - ²/₃x  + 2 + 4 = 0

²/₃x = -6

x = (-6 * 3)/2

x = -9

Thus;

y = ⁴/₃(-9) + 2

y = -10

Thus, the solution to the given simultaneous equation is; (-9, -10)

Read more about Simultaneous Equations at; brainly.com/question/148035

#SPJ1

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ollegr [7]

Answer:

x = \frac{12}{17} or 0.706

y = \frac{59}{34} or 1.735

Step-by-step explanation:

5x + 2y=7    ----->(eq 1)

- 2x + 6y=9 ----->(eq 2)

Multiply (eq 1) with 3

3×(5x + 2y) = 3×7  

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substract (eq 3) from (eq 2)

- 2x + 6y - (15x + 6y) = 9-21

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-17x = -12

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x = \frac{12}{17}

put x = \frac{12}{17} in (eq 1)

5*\frac{12}{17} + 2y = 7

2y = 7- 5*\frac{12}{17}

2y = \frac{7*17 - 60}{17}

2y = \frac{119- 60}{17}

2y = \frac{59}{17}

y = \frac{59}{17*2}

y = \frac{59}{34}

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