Systems-of-equations/226682: I need help with figuring out how to do a problem like this:
Solve the following systems of equations using any method. Check each solution, if possible:
a. -2x+3y=1
2x+6y=2
solution:
Solve the second equation for x
(you could solve for y - it
doesn't matter).
2x + 6 y = 2 becomes x = -3y +1
Now, substitute -3y +1
for x in the first equation. This gives
the equation -2(-3y +1)+3y = 1
6y -2 +3y =1
9y -2 =1
9y= 3
y=3/9 or y = 1/3
Now, substitute 1/3 for y in
either equation and solve for x.
(We use the second equation below.)
2x + 6(1/3) = 2
2x + 2 = 2
2x = 2- 2
2x =0 , x = 0
The solution is the ordered pair,
(0, 1/3).
now you can check where you see x just replace with 0 , and where see y just replace it with (1/3)..
good luck
1 solutions Answer 168746 by 3788(5) on 2009-10-14 18:30:25 (Show Source):
Linear-equations/226647: what is the slope and y intercept of the graph of 5x-2y=30?
you need to write this in terms of y :
5x-2y = 30
bringing 5x to the other side becomes -2y = 30 - 5x
dividing by -2 becomes y = 30/-2 -5x/-2
arrage it becomes y = 5x/2 -15
looking at the equestion we can find the slope and y intercept
slope = 5x/2 , y-int = -15
good luck 1 solutions Answer 168734 by 3788(5) on 2009-10-14 17:40:26 (Show Source):
Linear-equations/226593: i need your help on writing (y-5=1/3(x-6)
y-5 = 1/3x - 2
bring the -5 to the other side
becomes
y= 1/3x-2+5 ---> y = 1/3x + 3 1 solutions Answer 168724 by 3788(5) on 2009-10-14 17:23:01 (Show Source):
Problems-with-consecutive-odd-even-integers/226612: If the sum of two numbers is 19 and their product is 90, what is the sum of their squares?
sum of two number is 9 + 10 = 19
product is 9 x 10 = 90
9^2 + 10^2 = 181 1 solutions Answer 168714 by 3788(5) on 2009-10-14 17:00:47 (Show Source):