Answer:
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.