Solve the system of equations using substitution.
y = 2x – 10
y = 4x – 8
To solve the system of equations using substitution, we'll start by solving one equation for one variable and then substituting that expression into the other equation.
Let's solve the first equation, y = 2x – 10, for y:
y = 2x - 10
Now, substitute this expression for y in the second equation, y = 4x - 8:
2x - 10 = 4x - 8
Next, we can rearrange this equation to isolate the variable x:
2x - 4x = -8 + 10
-2x = 2
x = 2 / -2
x = -1
Now, substitute this value of x back into the first equation to find y:
y = 2(-1) - 10
y = -2 - 10
y = -12
Therefore, the solution to the system of equations is x = -1 and y = -12.
To solve the system of equations using substitution, we need to find the value of one variable in terms of the other variable and substitute it into the other equation.
Let's start by solving the first equation for y:
y = 2x - 10
Now, substitute this expression for y in the second equation:
2x - 10 = 4x - 8
Now, we have a simple equation with one variable (x). Let's solve it:
2x - 4x = -8 + 10
-2x = 2
x = -1
Now that we have the value of x, we can substitute it back into one of the original equations to find y.
Using the first equation:
y = 2(-1) - 10
y = -2 - 10
y = -12
Therefore, the solution to the system of equations is x = -1 and y = -12.