To solve the system of equations using substitution, we can solve one equation for one variable and substitute the expression into the other equation.
From the first equation, we can solve for x in terms of y:
x + 3y = 5
x = 5 - 3y
Substitute this expression for x in the second equation:
(5 - 3y) + 4y = 6
5 - 3y + 4y = 6
5 + y = 6
y = 6 - 5
y = 1
Substitute the value of y back into the expression for x:
x = 5 - 3(1)
x = 5 - 3
x = 2
Therefore, the solution to the system of equations is x = 2 and y = 1.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Use substitution or elimination to find the solution of the following system x+3y=5 x+4y=6
1 answer