Answer:
Option B is correct.
Step-by-step explanation:
4x+3y-z= -6 eq(1)
6x-y+3z= 12 eq(2)
8x+2y+4z=6 eq(3)
We need to solve these equations and find the value of x, y and z.
Multiply equation 2 with 3 and then add equation 1 and 2
18x -3y +9z = 36
4x +3y -z = -6
_____________
22x + 8z = 30 eq(3)
Multiply equation 2 with 2 and add with equation 3
12x -2y + 6z = 24
8x +2y +4z = 6
____________
20x + 10 z = 30 eq(4)
Multiply equation 3 with 10 and equation 4 with 8 and then subtract
220x + 80z = 300
160x + 80z = 240
- - -
_________________
60x = 60
x= 60/60
x= 1
Putting value of x in equation 3
22x + 8z = 30
22(1) + 8z = 30
8z = 30 - 22
8z = 8
z = 8/8
z=1
Putting value of x and z in equation 1
4(1)+3y-(1)=-6
4 + 3y -1 = -6
3 + 3y = -6
3y = -6 -3
3y = -9
y = -3
so, Option B x=1, y=3 and z=1 is correct
Answer:
A
Step-by-step explanation:
4 units right is positive 4 on the x axis, 7 units down is negative 7 on the y axis
Given :
Length of one of the equal sides of an isosceles triangle = 3x+2
Then, length of the other equal side will also be = 3x+2
Length of the unequal side of this isosceles triangle = 14
Formula for finding the perimeter of an isosceles triangle :
A formula for finding the perimeter of this isosceles triangle :
Bringing all like terms together we get :
Thus, the formula = 6x+18
Therefore, a formula to find the perimeter of this isosceles triangle = <u>6x+18</u>
Answer:
1042.5
Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u><u> </u>
- Mrs Lefatshe bought 15 metres of cloth.the cost of 1 metre is P69.95 .
<u>Using </u><u>Unitary</u><u> Method</u><u> </u><u>:</u><u>-</u><u> </u>
→ Cost of 1 m is P 69.95
→ Cost of 15m is P ( 69.5 * 15 ) = P 1042.5
If this is a system of equations then:
Multiply 5x-y=3 by -2
=> -10x+2y=-6
Now you sum the equations:
10x-10x+7y+2y=-3-6
=> 9y=-9
Then just divide by 9: y=-1
Now to get x, choose one of the equations and use the value we got from y:
5x-(-1)=3 => 5x+1=3 => 5x=3-1
=> 5x=2
=> x=2/5
(x,y)=(2/5, -1)
