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7y+6=5x 4y+4=3x Solve by elimination

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Answer to a math question 7y+6=5x 4y+4=3x Solve by elimination

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Murray

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1. Start with the two equations:

7y + 6 = 5x

4y + 4 = 3x

2. Rearrange them to isolate terms involving $x$ and $y$ on one side of the equation:

5x - 7y = 6

3x - 4y = 4

3. Multiply the second equation by 5 and the first equation by 3 to make the coefficients of $x$ equal:

15x - 21y = 18

15x - 20y = 20

4. Subtract the second equation from the first:

(15x - 21y) - (15x - 20y) = 18 - 20

-y = -2

y = 2

5. Substitute $y = 2$ back into the second equation to find $x$:

4(2) + 4 = 3x

8 + 4 = 3x

12 = 3x

x = 4

Thus, the solution to the equations is:

y = 2

x = 4

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7y+6=5x 4y+4=3x Solve by elimination

Answer to a math question 7y+6=5x 4y+4=3x Solve by elimination

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