System of Equations
y=x
4x+2y=30
(3,9)
-3x+2y=10
-2x-y=-5
(0,5)
[[3,5],[-7,2]]+[[-2,6],[8,-1]]
[[1,11],[1,1]]
x+y=7
x-y=9
(8,-1)
Determine whether each sequence is an arithmetic sequence.
-2,-1,0,1
Yes, 5
x+y=6
x-y=2
(4,2)
4x-7y=10
(6,2)
4[[-1,4],[7,5]]
[[-4,16],[28,20]]
s+2t=6
3s-2t=6
(2,2)
Write an equation in point-slope form.
(5,-2), m=3
y+2=3(x-5)
2x+y=8
x-y=4
(4,0)
5x+3y=4
-4x+5y=-18
(2,-2)
[[9,-35],[-7,9]]-[[16,-6],[5,-3]]
[[-7,-29],[-12,12]]
2s-3t=-4
s=7-3t
Write the equation in slope-intercept form.
y+1/4=2/3(x+1/2)
y=2/3x+1/12
x+2y=-9
x-y=6
(1,-5)
2x-7y=9
-3x+4y=6
(-6,-3)
[[0,-1,3]]+[[0],[3],[4]]
Impossible
x=y
x+y=7
(3.5,3.5)
Write the equation in standard form.
y+6=-3.8(x-2)
19x+5y=8
y=7-x
2x-y=8
(5,2)
6x-3y=-9
-8x+2y=4
(1/2,4)
5[[0,5],[1,-3]]+4[[0,5],[-1,5]]
[[0,45],[1,5]]
2x-y=3
2/3x-y=-1
(3,3)
Solve for x.
y=5/9(x-22)
x=9/5y+32