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

2. If x is 6, what is y?

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,

2. When x = 6,

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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:

✅

2. Substitute x = 6 in , to find y.

Collect like terms

Divide both sides by 2