[Given]
{ x + y = 6
{ x = y + 4
[Plug-in our x value & solve]
[Given] x + y = 6
[ Plug-in] (y + 4) + y = 6
[Distribute] y + 4 + y = 6
[Combine like terms] 2y + 4 = 6
[Subtract 4 from both sides] 2y = 2
[Divide both sides by 2] y = 1
[Answer]
Third option - (5, 1)
-> You do not need to solve for x since this is the only option that has y = 1, but to solve for x we would do y + 4 = 1 + 4 = 5, so this answer fully checks correctly
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- Heather
To find the x intercept, sub in 0 for y and solve for x
2x - 5y = 20
2x - 5(0) = 20
2x = 20
x = 20/2
x = 10....x intercept is (10,0)
to find the y intercept, sub in 0 for x and solve for y
2x - 5y = 20
2(0) - 5y = 20
-5y = 20
y = -20/5
y = -4....y intercept is (0,-4)
The perimeter of the rhombus is 28 inches.
Answer:
the commutative property of addition :)
