<em><u>The solution is x = 8 and y = -5</u></em>
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
x + y = 3 ------ eqn 1
3x + 2y = 14 ------ eqn 2
We have to find the solution to the equations
We can use substitution method to solve
From eqn 1,
x + y = 3
Isolate for "x"
x = 3 - y ------ eqn 3
<em><u>Substitute eqn 3 in eqn 2</u></em>
3(3 - y) + 2y = 14
9 - 3y + 2y = 14
-y = 14 - 9
-y = 5
<h3>y = -5</h3>
<em><u>Substitute y = -5 in eqn 3</u></em>
x = 3 - (-5)
x = 3 + 5 = 8
<h3>x = 8</h3>
Thus the solution is x = 8 and y = -5
Answer:
x= -2
y=0
z= 1
Step-by-step explanation:
{-x+5y-10z=-8
2x-y+10z=6}
{2x-y+10z=6
-7x-3y-10y=4}
{-x+5y-10z=-8
2x-y+10z=6} = x+4y=-2
{2x-y+10z=6
-7x-3y-10y=4} = -5x-4y=10
{x+4y=-2
-5x-4y=-10}. =. y= 0 x= -2
substitute x and y in -x+5y-10z=-8
-(-2)+5(0)-10z=-8
solve for z
z= 1
(x,y,z) = (-2,0,1)
hope this helps
Answer:
0.0132575758
Step-by-step explanation:
The area of the given parallelogram is 120.
Step-by-step explanation:
Step 1:
The parameters needed to determine the area of a parallelogram are the base length and height.
The base length of this parallelogram is 15 inches while its height is 8 inches.
The area of a rectangle is determined by multiplying the base length with the height.
Step 2:
The area of the parallelogram 
Here the base length is 15 inches and the height is 8 inches.
The area of the parallelogram 
So the area of the given parallelogram is 120.
