Answer:
x = 0
, y = 4
Step-by-step explanation:
Solve the following system:
{y = 4 - 3 x | (equation 1)
x + 2 y = 8 | (equation 2)
Express the system in standard form:
{3 x + y = 4 | (equation 1)
x + 2 y = 8 | (equation 2)
Subtract 1/3 × (equation 1) from equation 2:
{3 x + y = 4 | (equation 1)
0 x+(5 y)/3 = 20/3 | (equation 2)
Multiply equation 2 by 3/5:
{3 x + y = 4 | (equation 1)
0 x+y = 4 | (equation 2)
Subtract equation 2 from equation 1:
{3 x+0 y = 0 | (equation 1)
0 x+y = 4 | (equation 2)
Divide equation 1 by 3:
{x+0 y = 0 | (equation 1)
0 x+y = 4 | (equation 2)
Collect results:
Answer: {x = 0
, y = 4
The standard equation of a circle is expressed as
(x - h)^2 + (y - k)^2 = r^2
where
h is the x coordinate of the center of the circle
k is the y coordinate of the center of the circle
r is the radius of the circle(the distance from the center of the circle to the circumference
From the graph,
h = - 1
y = 4
r = 5
By substituting these values into the equation, we have
(x - - 1)^2 + (y - 4)^2 = 5^2
(x + 1)^2 + (y - 4)^2 = 25
Thus, the equation of the circle is
(x + 1)^2 + (y - 4)^2 = 25
1. 3x+9-9=18-9
3x=9
x=3
2. 4x-12=20
4x-12+12=20+12
4x=32
x=8
3. x+0-0
x=0
4. x/2-2+2=9+2
x/2=11
(2)(x/2)=11(2)
x=22
5. 12x-21=3
12x-21+21=3+21
12x=24
x=2
6. 3x-15=18
3x-15+15=18+15
3x=33
x=11
7. 3x-25=14
3x-25+25=14+25
x=13
8. 3x+16=22
3x+16-16=22-16
x=2
9. 2x-8=2
2x-8+8=2+8
2x=10
x=5
10. 9x-18=9
9x-18+18=9+18
9x=27
x=3
11. x+0=0
x=0
12. 9x-8=19
9x-8+8=19+8
9x=27
x=3
If you want to check my answers
use substitution method by using the x into for each equation.
C. 8.7 x 102
8.7 x 102= 887.4
Which is the largest product out of all the other equations.
Hope this helps!
