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Find x and y
2x - 3y = -13
4x + 2y = 6

User Gzg
by
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1 Answer

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Final answer:

The solution to the system of equations 2x - 3y = -13 and 4x + 2y = 6 is found by using the elimination method to first solve for x, getting x = -0.5, and then substituting this value into one of the original equations to solve for y, which results in y = 4.

Step-by-step explanation:

To find the values of x and y that satisfy the system of equations:

  • 2x - 3y = -13
  • 4x + 2y = 6

First, we can use the method of substitution or elimination. Let's use elimination in this case. Multiply the second equation by 1.5 to make the coefficients of y equal with opposite signs:

  • (4x + 2y) × 1.5 = 6 × 1.5
  • 6x + 3y = 9

Add this to the first equation:

  • 2x - 3y = -13
  • +
  • 6x + 3y = 9
  • ---------
  • 8x = -4

Divide by 8 to get x = -0.5.

To find y, substitute x into the second original equation:

  • 4(-0.5) + 2y = 6
  • -2 + 2y = 6
  • 2y = 8
  • y = 4

So, the solution to the system of equations is x = -0.5 and y = 4.

User Sayegh
by
7.8k points

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