Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.%0D%0A%0D%0AUse substitution or elimination to find the solution of the following system%0D%0A%0D%0Ax+3y=5%0D%0A%0D%0A+%0D%0A3%0D%0A%0D%0A=%0D%0A5%0D%0A %0D%0Ax+4y=6

Answer 1

Let's start by using the substitution method to solve this system of equations.

From the first equation, we can express x in terms of y.

x = 5 - 3y

Substitute this expression for x in the second equation:

(5 - 3y) + 4y = 6

Combine like terms:

5 + y = 6

Subtract 5 from both sides:

y = 1

Now substitute the value of y back into the first equation to find x:

x + 3(1) = 5

x + 3 = 5

Subtract 3 from both sides:

x = 2

Therefore, the solution to the system is x = 2 and y = 1.