Solve the following system of equations using the method of substitution

Question

2x+3y=5 and 4x+y=5

Answer 1

From the second equation, we can write y = 5-4x and substitute it into the first equation:

2x + 3(5-4x) = 5

Simplifying, we get:

2x + 15 - 12x = 5

-10x = -10

x = 1

Now that we know x = 1, we can substitute it into either equation to find y. Let's use the second equation:

4(1) + y = 5

y = 1

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