To solve for x and y in the system of equations y=-32x-2 and 2x-y=-5, we can use the method of substitution.
First, we can solve the second equation for y:
2x - y = -5
y = 2x + 5
Now we can substitute this expression for y into the first equation:
-32x - 2 = 2x + 5
Next, combine like terms:
-34x - 2 = 5
Add 2 to both sides:
-34x = 7
Divide by -34 to solve for x:
x = -7/34
Now that we have found the value of x, we can substitute it back into the equation y = 2x + 5 to find y:
y = 2(-7/34) + 5
y = -14/34 + 5
y = -14/34 + 170/34
y = 156/34
y = 78/17
Therefore, the solution to the system of equations y=-32x-2 and 2x-y=-5 is x = -7/34 and y = 78/17.
y=−32x−2
and 2x−y=−5
what is this solution and show how you got it
1 answer
1 answer