What is the solution to the system of equations?

Mathematics

1 answer:

alukav5142 [94]3 years ago

6 0

Answer:

(x, y) = (-4, 15)

Step-by-step explanation:

The two equations have the same coefficient for y, so you can eliminate y by subtracting one equation from the other. Here the x coefficient is largest for the first equation, so it will work best to subtract the second equation.

(3x +y) -(2x +y) = (3) -(7)

x = -4 . . . . . . . . simplify

Now, we can find y by substituting this value for x.

2(-4) +y = 7

y = 7 +8 = 15 . . . . . add 8 to both sides of the equation

The solution is (x, y) = (-4, 15).

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Suppose you have $20 to spend on party decorations. Balloons are $0.05 each, streamers are $0.25 each, and noisemakers are $0.40

sergejj [24]

[C] 0.05b + 0.25s + 0.4n = 20

b = balloons

s = streamers

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Since they already give us the price of each item we just need to add a variable at the end of each one since we don't know how many of each item is bought. Adding the costs of all the party supplies should not go over $20. We can automatically eliminate B and D. We can also eliminate A because the prices of each item are incorrect. Therefore, C is the correct answer.

Best of Luck!

4 0

3 years ago

Trevor solved the system of equations below. What mistake did he make in his work?

wariber [46]

2x + y = 5

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y = 5 − 2x

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add 10 to each side