When the equation -3x − 5y = -5 is subtracted from -10x + 5y = -60, a third linear equation, -13x = -65, is formed, and it has a different solution from the original equations.

The value of x is 5 and the value of y is -2

Step-by-step explanation:

If the question is to determine the values of x and y, this can be related to the elimination method for solving simultaneous equations.

From the third linear equation, -13x = -65, the value of x can be determined.

-13x = -65

Divide both sides by -13

Then,

-13x/-13 = -65/-13

x = 5

∴ The value of x is 5.

To determine the value of y, the value of x is substituted into any of the first two equations. Say -10x + 5y = -60

-10x + 5y = -60

Substitute x = 5 into the equation

-10(5) + 5y = -60

-50 + 5y = -60

Add 50 to both sides

-50 +50 + 5y = -60 +50

Then,

5y = -10

Divide both sides by 5

5y/5 = -10/5

y = -2

∴ x = 5, y =-2

Hence, the value of x is 5 and the value of y is -2.

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step-by-step explanation: