Answer:
<h2>x = 2 </h2><h2>y = - 3</h2><h2>z = - 2</h2>
Step-by-step explanation:
6y - 5z = -8 .......... Equation 1
3z = -6 ................... Equation 2
4x - 3y - 2z= 21...... Equation 3
<u>First solve for z in Equation 2</u>
That's
3z = - 6
Divide both sides by 3
<h3>z = - 2</h3>
Next substitute the value of z into Equation 1 in order to find y
We have
6y - 5(-2) = - 8
6y + 10 = - 8
6y = - 8 - 10
6y = - 18
Divide both sides by 6
<h3>y = - 3</h3>
Finally substitute the values of y and z into Equation 3 to find the value of x
That's
4x - 3(-3) - 2(-2) = 21
4x + 9 + 4 = 21
4x + 13 = 21
4x = 21 - 13
4x = 8
Divide both sides by 4
<h3>x = 2</h3>
So the solutions are
<h3>x = 2 </h3><h3>y = - 3</h3><h3>z = - 2</h3>
Hope this helps you
Answer:
all real nunbers
Step-by-step explanation:
when we exchange the place of x and y and solve for y we get the equation y=x^2 + 2
any number inserted in x will give a value y
Answer:
9
Step-by-step explanation:
V=pi (r squared) (h/3)
75pi = 25pi (h/3)
Divide both sides by 25 pi
3= h/3
Multiply both sides by 3
h=9
Answer:
198.95 cm²
Step-by-step explanation:
Circumference = 50cm
C = πD
D = C/π
r = D/2
r = 50/π/2
r= 7.957747…..cm
Area = π r²
A = π x 7.957747….²
A = 198.95 cm² (2dp)
L = 2W
P = 2L + 2W
Plug 2W in for L.
54 = 2(2W) + 2W
54 = 4W + 2W
54 = 6W
Divide both sides by 6
W = 9
L = 2* 9
L = 18
A = L * W
A = 9 * 18
A = 162 units^2