3x-2y=-5
3y-4x=8
1) multiply the first equation by 3
3(3x-2y=-5) this will give you the new equation: 9x-6y=-15
2) multiply the second equation by 2
2(3y-4x=8) this should give you the equation: 6y-8x=16
3) combine both equations/ like terms
9x-6y=-15
6y-8x=16
4) -6y and 6y cancel out
9x=-15
-8x=16
5) 9x and -8x combine to make 1x or just x and -15 combined with 16 gives you just 1
6) we are now left with:
x=1
7) plug in the x to any of the two original equations ( i chose the first)
3x-2y=-5
3(1) - 2y = -5
3 - 2y = -5
-2y = -8
y = 4
When you plug in the x=1 you are given 3(1) - 2y = -5
Distribute the 3 and you should have 3 - 2y = -5
Subtract 3 from 3 (this cancels out) then from -5
This should leave you with -2y = -8 ( -3 and -5 add to -8)
Divide by -2 ( -2 divided by -2 cancels out)
-8 divided by -2 gives you 4 (two negatives make a positive)
So, y=4 and x=1
To check, plug in x=1 and y=4 into one equation. when you're done with that you can plug them into the other. when you plug them into the first equation you get -5=-5 which means they worked. when plugged into the second, the result is 8=8 which means x=1 and y=4 worked for both equations.
Answer:
X = 18
Step-by-step explanation:
X - 7 = 11
Add 7 to both sides
X - 7 + 7 = 11+7
X = 18
Answer:
Yes, they can swing at the same time.
Step-by-step explanation:
If Joe is 240 pounds, and Jake is 250 pounds, together they are 490 pounds, everything else doesn't matter.
Answer:
Step-by-step explanation:
You can represent Morgan's scenario with the expression, 25w + 615, and you can represent Kendall's scenario with the expression, 15w + 975. To find out when they both have the same amount of money in their accounts, you set them equal to each other and solve for w:
25w + 615 = 15w + 975
25w = 15w + 360
10w = 360
w = 36
Morgan and Kendall will have the same amount of money after 36 weeks.
