Answer:
6: x = 3 and y = 5
7: x = 8 and y = 7
Step-by-step explanation:
In parallelograms opposite sides are congruent
For #6
x + 5 = 2x + 2
step 1 subtract x from each side
2x - x = x
x - x cancels out
now we have 5 = x + 2
step 2 subtract 2 from each side
5 - 2 = 3
2 - 2 cancels out
we're left with x = 3
y + 10 = 2y + 5
step 1 subtract 5 from each side
10 - 5 = 5
5 - 5 cancels out
now we have y + 5 = 2y
step 2 subtract y from each side
y - y cancels out
2y - y = y
we're left with y = 5
For #7
3x - 2 = 2x + 6
step 1 add 2 to each side
-2 + 2 cancels out
6 + 2 = 8
now we have 3x = 2x + 8
step 2 subtract 2x from each side
3x - 2x = x
2x - 2x cancels out
we're left with x = 8
6y - 8 = 4y + 6
step 1 add 8 to each side
-8 + 8 cancels out
6 + 8 = 14
now we have 6y = 4y + 14
step 2 subtract 4y from each side
6y - 4y = 2y
4y - 4y cancels out
now we have 14 = 2y
step 3 divide each side by 2
2y / 2 = y
14 / 2 = 7
we're left with y = 7
