Answer:
m = 7
Step-by-step explanation:
- 3(12 - m) = - 1(m - 8)
- 36 - (- 3m) = - m - 8
- 36 + 3m = - m - 8
- 36 + 3m + m = - m + m - 8
- 36 + 4m = - 8
- 36 + 36 + 4m = - 8 + 36
4m = 28
4m ÷ 4 = 28 ÷ 4
m = 7
Answer: C
The x row goes up every time by two and the y decreases by 4.
6-4=2 ect...
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There are 5 solutions for this system.
x^2 + 4y^2 = 100 ____1
4y - x^2 = -20 ____2
Add both 1 & 2 together. x^2 gets cancelled
4y^2 + 4y = 80 (send 80 to the other side and divide by 4)
Then equation the becomes : y^2 + y -20 =0
Now factorise the equation: (y+5) (y-4) = 0
Solve for y : y = -5 and y = 4
Using the values of y to find the values of x. From equation 1:
x^2 = 100 - 4y^2 x = /100 - 4y^2 (/ means square root) Replace values of y
y = -5, x = /100 - 4(-5)^2 = /100 - 100 = 0
y = 4, x = /100 - 4(4)^2 = / 100 - 64 = /36 = -6 or 6
Thus we have 6 solutions y = -5, 4 and x = -6, 0, 6