Question

11 x + 10 y=73,5 6x - 5y= - 54

Answer 1

Ответ:

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Answer 2

To solve the system of equations:

1. 11x + 10y = 73.5
2. 6x - 5y = -54

We can use either the substitution method or the elimination method. Let's use the elimination method:

Step 1: Multiply both sides of equation (1) by 5 and equation (2) by 10 to make the coefficients of 'y' the same and then add the equations to eliminate 'y'.

5 * (11x + 10y) = 5 * 73.5 10 * (6x - 5y) = 10 * (-54)

This simplifies to:

55x + 50y = 367.5 60x - 50y = -540

Step 2: Add the equations to eliminate 'y'.

(55x + 50y) + (60x - 50y) = 367.5 - 540

This simplifies to:

115x = -172.5

Step 3: Solve for 'x'.

x = -172.5 / 115 x = -1.5

Step 4: Substitute the value of 'x' back into either equation (1) or (2) to find 'y'. Let's use equation (1).

11x + 10y = 73.5 11(-1.5) + 10y = 73.5 -16.5 + 10y = 73.5

Step 5: Solve for 'y'.

10y = 73.5 + 16.5 10y = 90

y = 90 / 10 y = 9

So, the solution to the system of equations is x = -1.5 and y = 9.