Question

1. Write an equation using x and y to represent the hanger.

x +
y =
x +
y

2. If x is 6, what is y?

Answer 1

Answer:

1. $x + 3y = 4x + y$

2. $y = 9$

Step-by-step explanation:

1. x = weight of 1 triangle

y = 1 weight of rectangle

On our left, we have 1 triangle (1x) and (+) 3 rectangles (3y).

This will give us the expression: x + 3y.

On our right, we have 4 triangles (4x) and (+) 1 rectangle (1y).

This will give us 4x + y

herefore, we would have the following:

The equation that represents the hanger would be:

✅$x + 3y = 4x + y$

2. Substitute x = 6 in $x + 3y = 4x + y$, to find y.

$6 + 3y = 4(6) + y$

$6 + 3y = 24 + y$

Collect like terms

$3y - y = 24 - 6$

$2y = 18$

Divide both sides by 2

$y = \frac{18}{2}$

$y = 9$

Answer 2

The equation that represent hanger is , 3x-2y = 0

When x = 6 then y will be equal to 9.

From given figure, it is observed that , on right side of hanger 4 triangle and 1 square is present.

And on left side of hanger 3 square and 1 triangle is present.

Since, x represent the weight of one triangle and y represent weight of one square.

Weight of left side of hanger = 3y + x

Weight of right side of hanger = 4x + y

Since, Both side weight are equal.

1. Thus, equation of hanger is,

                   $3y+x=4x+y\\\\3x-2y=0$

2. When x = 6,

            $3(6)-2y=0\\\\18-2y=0\\\\y=18/2=9$

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