Unit I -- Geo1!
Systems of Equations for Geometry
1.
y = −5x + 7
!
3x + 2y = 0
!
2.
4x − 3y = 11
!
2y − x = −4
!
3.
y = x+3
y + 2x = 21
4.
x + 2y = 7
!
4x − y = 10
!
5.
4x − y = 1
!!
y = 2x + 3
!
6.
x = 3y
3x − 3y = 24
7.
8x + 5y = −13
!
3x − 2y = −1
!
8.
!
!
9.
.1c − .2d = .1
.4c + .6d = 8
x 2y
1
−
=2
5 3
3
11.
!
3x y
+ =7
2 4
!
12.
10x + 5y = 3.5
10.
! !
3x − .6 = 4y
13.
g = 2(8 + h)
3h = 2(1+ 2g)
3x + 6y − 5 = 6x − 8y − 4
!
7x + 10y + 2 = 12x + 8y − 7
4x + 6y = −5
3x − 5y = −1
5x + 2y − 7 = 10x − 8y + 12
15x − 12y − 9 = 25x − 2y − 31
!
!
14.
!
!
16. y − 9 =
Solve each equation for y:
15. 8x + 5y = −13 ! !
!
24. (SAT Problem)
!
If x = 7 + y and 4x = 6 – 2y, what is the value of x?
25. (SAT Problem)
!
If 2x + y = 7 and y = 5x, what is the value of x?
26. (SAT Problem)
!
If 2x + y = 5, what is the value of 4x + 2y?
27. (SAT Problem)
!
If x = 2y and x + y = 15, what is the value of xy?
2
(x − 7)
3