So
-4x-5y-z=18
-2x-5y-2z=12
-2x+5y+2z=4
the 2 last equations look perfect for canceling each other so add them together
-2x-5y-2z=12
<u>-2x+5y+2z=4 +</u>
<u />-4x+0y+0z=16
-4x=16
divide both sides by 4
-x=4
multiply -1
x=-4
now we have
-4x-5y-z=18
-2x+5y+2z=4
add them together
-6x+0y+z=22
but x=-4 so
-6(-4)+z=22
24+z=22
subtract 24 from both sides
z =-2
subsitute into any equation
-2x-5y-2z=12
x=-4
z=-2
-2(-4)-5y-2(-2)=12
8-5y+4=12
12-5y=12
subtract 12 from both sides
-5y=0
y=0
x=-4
y=0
z=-2
Answer:
There are 208 male students in the eight grade.
Step-by-step explanation:
320 students all together - 35% female students= 208 male students
Answer:
5
Step-by-step explanation:
First the question said that two equal sides of the isosceles triangles is thrice the third side. This means that the two equal sides is 3x while the third side should be represented as x
Secondly, add the three parts together which = 3x+3x+x =7x
Thirdly, then divide both sides by 7= 7x/7 *35/7
Making x=5
Answer:
15 square units.
Step-by-step explanation:
To find the area, we must find the width and length of the rectangle. To find the width and length, we need to find the length of AB and the length of BC. We use the distance formula.
AB: A(-8, 3); B(-3, 3).

= 
= 
= 
= 5
BC: B(-3, 3); C(-3, 6).

= 
= 
= 
= 
= 3
Now that we have both the width and the length, we can solve for the area using A = lw, where A is the area, l is the length, and w is the width. In this case, l = 5 and w = 3.
A = lw
A = 5 * 3
A = 15
So, the area of the rectangle is 15 square units.
Hope this helps!