Answer:G
Step-by-step explanation:
4/9 times 2/8= 1/9
First, distribute the 100 to the (x-1) portion:
500 = 100x - 100
then, add 100 to both sides of your equation to get “x” alone on the right side:
500 + 100 = 100x - 100 + 100
600 = 100x
next, divide 100x by 100 and 600 by 100 to isolate a singular “x”:
600/100 = 100x/100
6 = x
therefore, x=6 is your solution
63/12 = 4.2
4.2 x 12 = 50.4
x = 50.4
Answer: The solution is the ordered pair (1/2, -3/4) so x = 1/2 and y = -3/4 pair up together. The two lines, when graphed, cross at this location.
note: 1/2 = 0.5 and -3/4 = -0.75; so the intersection point can be written as (0.5, -0.75)
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Explanation:
The second equation has y isolated. We can replace the y in the first equation with the expression 1/2x - 1
3x + 2y = 0
3x + 2( y ) = 0
3x + 2( 1/2x - 1) = 0 ... y is replaced with 1/2x-1
3x + 2(1/2x) + 2(-1) = 0 .... distribute
3x + x - 2 = 0 .... note how 2 times 1/2 is 1
4x - 2 = 0
4x = 2
x = 2/4
x = 1/2
Use this x value to find the y value it pairs with
y = (1/2)*x - 1
y = (1/2)*(1/2) - 1 ... replace x with 1/2
y = 1/4 - 1
y = 1/4 - 4/4
y = (1-4)/4
y = -3/4
