Question

Use elimination or substitutuion to solve 4x+4y=46 and x+3y=14.5

Answer 1

Let's use elimination:

4x + 4y = 46
x + 3y = 14.5

Multiply the bottom equation by -4 and write below the first equation. Then add them together.
4x + 4y = 46
-4x - 12y = -58
-------------------
0 - 8y = -12
-8y = -12
y = -12/-8
y = 1.5

Now substitute y = 1.5 in the second original equation:
x + 3(1.5) = 14.5
x + 4.5 = 14.5
x = 10

Solution: x = 10, y = 1.5