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2x-6y=8 6x+10y=-4
how do you slove it

2 Answers

1 vote

Final answer:

To solve the system of equations 2x - 6y = 8 and 6x + 10y = -4, you can use the method of elimination. Multiply the equations to eliminate the x term, add the equations to find the y value, and substitute the y value to solve for x.

Step-by-step explanation:

To solve the system of equations:

2x - 6y = 8

6x + 10y = -4

You can use the method of elimination or substitution. Here, I will show you the method of elimination:

  1. First, multiply the first equation by 3 and the second equation by -1 to eliminate the x term.
  2. The new system of equations is: 6x - 18y = 24 and -6x - 10y = 4.
  3. Add the two equations together: -28y = 28.
  4. Divide both sides by -28 to solve for y: y = -1.
  5. Substitute the value of y into one of the original equations (let's use the first one): 2x - 6(-1) = 8.
  6. Simplify the equation: 2x + 6 = 8.
  7. Subtract 6 from both sides: 2x = 2.
  8. Divide both sides by 2 to solve for x: x = 1.

Therefore, the solution to the system of equations is x = 1 and y = -1.

User Steve Rowe
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4.6k points
9 votes

Answer:

x=1, y=-1

Step-by-step explanation:

like the picture

2x-6y=8 6x+10y=-4 how do you slove it-example-1
User Enchanter
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5.1k points