Final answer:
To solve the system of equations x−y = −3 and −8x+y = 45, use the method of substitution to find the values of x and y. The solution is x = 4.67 and y = 7.67.
Step-by-step explanation:
To solve the system of equations x−y = −3 and −8x+y = 45, we can use the method of substitution. Let's solve the first equation for x:
x = y - 3
Now substitute this expression for x in the second equation:
-8(y - 3) + y = 45
By simplifying and solving for y, we get:
9y - 24 = 45
9y = 69
y = 7.67
Now substitute this value of y back in the first equation to find x:
x = (7.67) - 3
x = 4.67
Therefore, the solution to the system of equations is x = 4.67 and y = 7.67.