Answer:
(-1, 7)
Step-by-step explanation:
Step 1 - Make the two equations equal the same:
3x + y = 4
2x + y = 5
Add 1 to the first equation:
3x + y + 1 = 5
2x + y = 5
3x + y + 1 = 2x + y
Step 2 - Subtract 2x from both sides to isolate y:
3x + y + 1 = 2x + y
3x - 2x + y + 1 = 2x - 2x + y
x + y + 1 = y
Step 3 - Subtract y from both sides:
x + y + 1 = y
x + y - y + 1 = y - y
x + 1 = 0
x = -1
Step 4 - Plug known variable back into the first equation:
3x + y = 4
3(-1) + y = 4
-3 + y = 4
Step 5 - Add 3 to both sides to isolate the y:
-3 + y = 4
-3 + 3 + y = 4 + 3
y = 7
Meaning the two coordinates are:
x = -1
y = 7
Or:
(-1, 7)
Hope this helps!
