To find the solution to this system of equations, we can use the method of substitution.
We can start by solving the first equation for y:
y = -2x - 1
Now we can substitute this expression for y into the second equation:
3x - (-2x - 1) = -7
Simplifying the equation:
3x + 2x + 1 = -7
5x + 1 = -7
Next, we can isolate x by subtracting 1 from both sides of the equation:
5x = -8
To solve for x, we divide both sides of the equation by 5:
x = -8/5
Now that we have the value of x, we can substitute it back into the first equation to find the value of y:
y = -2(-8/5) - 1
y = 16/5 - 1
y = 16/5 - 5/5
y = 11/5
Therefore, the solution to the system of equations is x = -8/5 and y = 11/5.
What is the solution to this system of equations?
y=-2x-1 and 3x-y=-7
1 answer