4x + 5y = 7 and 8x + 5y = 9 *
Elimination

Solve equation [2] for the variable y

[2] y = 8x + 7

// Plug this in for variable y in equation [1]

[1] 4x - 5•(8x+7) = -9

[1] -36x = 26

// Solve equation [1] for the variable x

[1] 36x = - 26

[1] x = - 13/18

// By now we know this much :

x = -13/18

y = 8x+7

// Use the x value to solve for y

y = 8(-13/18)+7 = 11/9

Solution :

{x,y} = {-13/18,11/9}

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step-by-step explanation:

-2

7 - 9 = -2

reversed:

-2 + 9 = 7