Answer:
x = 8
y = -7
Step-by-step explanation:
This is a system of equations called simultaneous equations. We shall solve it by elimination method Step 1We shall label the equations (1) and (2)−3y−4x=−11.....(1)3y−5x=−61......(2)Step 2Multiply each term in equation (1) by 1 to give equation (3)1(-3y-4x=-11).....(1)-3y-4x=-11....(3)Step 3Multiply each term in equation 2 by -1 to give equation (4)-1(3y−5x=−61)......(2)-3y+5x=61.....(4)Step 4-3y-4x=-11....(3)-3y+5x=61.....(4)Subtract each term in equation (3) from each term in equation (4)-3y-(-3y)+5x-(-4x)=61-(-11)-3y+3y+5x+4x=61+110+9x=729x=72Step 5Divide both sides of the equation by 9, the coefficient of the unknown variable x to find the value of x 9x/9 = 72/9x = 8Step 6Put in x = 8 into equation (2)3y−5x=−61......(2)3y-5(8)=-613y-40=-61Collect like terms by adding 40 to both sides of the equation 3y-40+40=-61+403y=-21Divide both sides by 3, the coefficient of y to find the value of y 3y/3=-21/3y=-7Therefore, the values of x and y that satisfy the equations are 8 and -7 respectively
Rewrite the inequality without the absolute value
-18 < x - 13 < 18
Add 13 to the whole equation
-18 + 13 < x < 18 + 13
Simplify
<u>-5 < x < 31</u>
The coordinates of point B are (-4 , -2) ⇒ answer H
Step-by-step explanation:
In any circle
- The diameter of the circle passing through its center
- The center of the circle is the mid-point of all diameters
If (x , y) are the coordinates of the mid-point of a line whose end
points are 
and 
, then
and 
∵ Point C is the center of a circle
∵ AB is the diameter of the circle
∴ C is the mid point of AB
∵ A = (2 , 6) ⇒
∵ B =
∵ C = (-1 , 2) ⇒ (x , y)
- Use the rule of the mid-point above
∵ 
- Multiply both sides by 2
∴ -2 = 2 + 
- Subtract 2 from both sides
∴ = -4
∴ The x-coordinate of point B is -4
∵ 
- Multiply both sides by 2
∴ 4 = 6 + 
- Subtract 6 from both sides
∴ = -2
∴ The y-coordinate of point B is -2
The coordinates of point B are (-4 , -2)
Learn more:
You can learn more about the circle in brainly.com/question/9510228
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Answer:
i think your question is missing something??
Step-by-step explanation:
3(4) + 6 = 7 (2(4)-3)
12 + 6 = 7 (8-3)
18 = 7 (5)
18 = 35?
