Solve the system of equations by substitution.

4x+y=14
y=3x

1 answer

To solve the system of equations by substitution, we substitute the value of y from the second equation into the first equation.

Substituting y=3x into the first equation:

4x + (3x) = 14
7x = 14
Divide both sides by 7:
x = 2

Now, substitute the value of x into the second equation to find y:

y = 3(2)
y = 6

Therefore, the solution to the system of equations is x = 2 and y = 6.