Answer:
1) y=1/2x+12
2)y=-2x+13
3) Parallel lines have same slope, different y intercept and perpendicular lines have opposite reciprocal slopes.
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
what you do is -4(2)^-2 which is -1
then you do 3(5)^0 which is 3
then you add it together and it is 2
So we are given two points, say P1(4,7), P2(x,19).
Slope is given by
m=3=(y2-y1)/(x2-x1)=(19-7)/(x-4)
solve for x
3=(19-7)/(x-4)
cross multiply
3(x-4)=12
3x-12=12
3x=12+12=24
x=8
Answer:
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Step-by-step explanation:
a) 3x+2(41-5x)=33 as y=41-5x is given
3x+82-10x=33
-7x+82=33
-7x=33-82
-7x=-49 cut the negative signs as its LHS and RHS
x=49/7=7
b)-5x+3(3x-3)=3 as y=3x-3 is given
-5x+9x-9=3
4x-9=3
4x=3+9
x=12/4=3
c)4x+11-5x=9
-x+11=9
-x=9-11
-x=-2 cut the negative signs as its LHS and RHS
x=2
d) 5y+ -5-2y=-11 as x=-5-2y is given
3y+-5=-11
3y=-11+5
3y=-6
y=-6/3=-2
e)-5x-4(2x+1)=35 as y=2x+1
-5x-8x+4=35
3x+4=35
3x=35-4
3x=31
x=31/3
x=10.3
You should find that your system doesn't have solutions. This is also confirmed by the fact that the determinant of the matrix of the coefficient of the variables x, y and z is equal to zero.
