2 Answers

Mahesh Agrawal · Answer 1 · 2021-09-11T12:24:42+0000

The value of x and y is
x=2 and
y=0.5

Explanation:

Let x denote the sodas.

Let y denote the bags of popcorn.

Given: Kaelyn bought a soda and two bags of popcorn for $3. Writing this as equation,

x+2y=3

Her brother bought three sodas in a bag of popcorn for $6.50. Writing this as equation,

3x+y=6.50

Using substitution method, let us find the value of x from the equation
x+2y=3 by subtracting 2y from both sides of the equation, we get,

x=3-2y

Now, substituting the value of x in
3x+y=6.50 , we get,

$\begin{array}{r}{3(3-2 y)+y=6.50} \\{9-6 y+y=6.50} \\{9-5 y=6.50}\end{array}$

Subtracting 9 from both sides of the equation, we get,

$\begin{aligned}-5 y &=-2.5 \\y &=0.5\end{aligned}$

Now, substituting the value of
y=0.5 in
x=3-2y , we get

$\begin{aligned}x &=3-2(0.5) \\&=3-1 \\x &=2\end{aligned}$

Thus, the value of x and y is
x=2 and
y=0.5

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