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2 years ago

3x-4y=0 2x+y=110 no solution

Mathematics

1 answer:

weeeeeb [17]2 years ago

5 0

Answer:

(x, y) = (40, 30)

Step-by-step explanation:

A graphing calculator can show you the solution to this system of equations is (x, y) = (40, 30). That is the point of intersection where the two lines cross.

An algebraic solution can be found by using the substitution method. An expression for y can be found using the second equation:

y = 110 -2x . . . . . . subtract 2x from both sides

Using this in the first equation gives ...

3x -4(110 -2x) = 0 . . . . substitute for y

11x = 440 . . . . . . . . . simplify, add 440

x = 40 . . . . . . . . . . divide by 11

y = 110 -2(40) = 30

The solution is (x, y) = (40, 30).

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Let $s$ be the number of strawberry cupcakes, and $c$ the number of chocolate cupcakes.
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We can conclude that the correct answer is B. c + s = 180 c = 2s + 18.

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$s= \frac{162}{3}$
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Now that we know the number of strawberry cupcakes, lets replace that value in our second equation to find the number of chocolate cupcakes:
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