Answer:
a) Points A and B are symmetrical over the x-axis. Points A and B are on the same location on the x-axis but opposite directions on the y-axis. Points A and B lie on the same vertical line.
b) A (4,3); B (4,-3); C (3,-5); D (-4,-3); E (-5,3)
1. A point with a positive x-coordinate is to the right of the y-axis. [A,B,C]
2. A point with a negative x-coordinate is to the left of the y-axis. [D,E]
3. A point with a positive y-coordinate is above the x-axis. [A,E]
Answer: x = 5, y = -1
<u>Step-by-step explanation:</u>
Equation 1: 4x + 2y = 18
Equation 2: 3x - 5y = 20
In order to eliminate one of the variables , find the LCM of either x or y.
<em>I chose to eliminate y.</em> The LCM of 2 & 5 is 10.
Multiply the entire equation so the coefficient of the variable equals the LCM.
Then add the equations and solve for the remaining variable.
5(4x + 2y = 18) --> 20x + 10y = 90
2(3x - 5y = 20) --> <u> 6x - 10y</u> = <u>40 </u>
26x = 130
<u> ÷26 </u> <u>÷26 </u>
x = 5
Next, input x = 5 into either of the equations to solve for y.
Equation 1: 4x + 2y = 18
4(5) + 2y = 18
20 + 2y = 18
<u> -20 </u> <u>-20 </u>
2y = -2
<u> ÷2 </u> <u> ÷2 </u>
y = -1
X the 1st table
y the second
z the third
The equation is : x+y+z =16.9
But we know (given) that x=2y & z=(1/3)y
Calculate everything in term of x:
x= 2y==> x/2 =y
z=(1/3)y ==> & since y=x/2 then z= (1/3)(x/2)==> z=x/6; y=5.07 & z =1.69
x + x/2 + x/6 = 16.9===>1.666x = 16.9===> x= 10.14
