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Lana71 [14]
2 years ago
6

Complete the solution of the equation. find the value of y when x equals 9. 3x + 4y = 43

Mathematics
1 answer:
Marizza181 [45]2 years ago
7 0
Y = 4

3x + 4x = 43

3(9) + 4x = 43

27 + 4x = 43

4x = 43-27

4x = 16

16/4 = x

4=x

x=4
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Let be "f" the number of 5€ bills that Maria has and "t" the number of 10€ bills that Maria has.

Set up a system of equations:

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Use the Substitution method to solve the system of equations:

1. Solve for "f" from the first equation:

f=20-t

2. Substitute the equation obtained into the second equation and solve for "t".

Then:

5(20-t)+10t=10(20-t)+5t\\\\100-5t+10t=200-10t+5t\\\\20t-10t=100\\\\t=\frac{100}{10}\\\\t=10

3. Substitute the value of "t" into the equation f=20-t and evaluate:

f=20-10\\\\f=10

Therefore, Maria has 10 bills of 5€ and 10 bills of 10 €.

So the total amount of money she has, is:

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She has a total of 150€.

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