Alice has total of 12 dimes and nickels she has 2 more nickels than dimes .which equation represents the given problem situation
2 answers:
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Answer:
3, -8
(x is equal to 3 and y is equal to -8)
Step-by-step explanation:
<u>The system:</u>
{ 7x=-67-11y
{ 5x=-73-11y
<u>Finding a value for x:</u>
7x=-67-11y -> x = -
<u>Solving for y by plugging in our x:</u>
[Equation] 5x = -73 -11y
[Plug-in] 5( -
) = -73 -11y
[Distribute the 5] -
= -73 -11y
[Multiply by 7] 7 ( -
) = (-73 -11y) 7
[Simplify] -335 - 55y = -511 - 77y
[Add 335 and 77y to both sides] 22y = -176
[Divide by 22] y = -8
<u>Plug in our y to solve for x:</u>
5x = -73 -11y
5x = -73 -11(-8)
5x = -73 + 88
5x = 15
x = 3
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather