solve using the substitution method.
y= 5 - 3x
4x + y= 7
follow the steps I showed you a few posts back
To solve the system of equations using the substitution method, we need to solve one of the equations for one variable and substitute it into the other equation.
Let's solve the first equation, y = 5 - 3x, for y:
y = 5 - 3x ----(1)
Now, substitute this value of y in the second equation, 4x + y = 7:
4x + (5 - 3x) = 7
Next, simplify the equation by distributing:
4x + 5 - 3x = 7
Combine like terms:
x + 5 = 7
To isolate x, subtract 5 from both sides:
x = 2
Now that we have the value of x, we can substitute it back into either equation to find the value of y.
Using equation (1):
y = 5 - 3x
y = 5 - 3(2)
y = 5 - 6
y = -1
Therefore, the solution to the system of equations is x = 2 and y = -1.