Solved on Jan 18, 2024

Solve for $x$ in the equation $\frac{x+y}{3} = 5$ .

STEP 1

Assumptions
1. We are given the equation $\frac{x+y}{3}=5$ .
2. We need to solve for $x$ in terms of $y$ .

STEP 2

Multiply both sides of the equation by 3 to eliminate the denominator.
$3 \times \frac{x+y}{3} = 3 \times 5$

STEP 3

Simplify the left side of the equation by canceling out the 3 in the numerator and the denominator.
$x+y = 3 \times 5$

STEP 4

Simplify the right side of the equation by performing the multiplication.
$x+y = 15$

STEP 5

To solve for $x$ , we need to isolate $x$ on one side of the equation. We can do this by subtracting $y$ from both sides of the equation.
$x+y-y = 15-y$

STEP 6

Simplify both sides of the equation.
$x = 15-y$
The solution for $x$ in terms of $y$ is $x = 15 - y$ .

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Solve for $x$ in the equation $\frac{x+y}{3} = 5$ .

STEP 1

Assumptions
1. We are given the equation $\frac{x+y}{3}=5$ .
2. We need to solve for $x$ in terms of $y$ .

STEP 2

Multiply both sides of the equation by 3 to eliminate the denominator.
$3 \times \frac{x+y}{3} = 3 \times 5$

STEP 3

Simplify the left side of the equation by canceling out the 3 in the numerator and the denominator.
$x+y = 3 \times 5$

STEP 4

Simplify the right side of the equation by performing the multiplication.
$x+y = 15$

STEP 5

To solve for $x$ , we need to isolate $x$ on one side of the equation. We can do this by subtracting $y$ from both sides of the equation.
$x+y-y = 15-y$

STEP 6

Simplify both sides of the equation.
$x = 15-y$
The solution for $x$ in terms of $y$ is $x = 15 - y$ .

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Solve for xxx in the equation x+y3=5\frac{x+y}{3} = 53x+y​=5.

STEP 1

Assumptions1. We are given the equation x+y3=5\frac{x+y}{3}=53x+y​=5.2. We need to solve for xxx in terms of yyy.

STEP 2

Multiply both sides of the equation by 3 to eliminate the denominator.3×x+y3=3×53 \times \frac{x+y}{3} = 3 \times 53×3x+y​=3×5

STEP 3

Simplify the left side of the equation by canceling out the 3 in the numerator and the denominator.x+y=3×5x+y = 3 \times 5x+y=3×5

STEP 4

Simplify the right side of the equation by performing the multiplication.x+y=15x+y = 15x+y=15

STEP 5

To solve for xxx, we need to isolate xxx on one side of the equation. We can do this by subtracting yyy from both sides of the equation.x+y−y=15−yx+y-y = 15-yx+y−y=15−y

STEP 6

Simplify both sides of the equation.x=15−yx = 15-yx=15−yThe solution for xxx in terms of yyy is x=15−yx = 15 - yx=15−y.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Solve for $x$ in the equation $\frac{x+y}{3} = 5$ .

Assumptions
1. We are given the equation $\frac{x+y}{3}=5$ .
2. We need to solve for $x$ in terms of $y$ .

Multiply both sides of the equation by 3 to eliminate the denominator.
$3 \times \frac{x+y}{3} = 3 \times 5$

Simplify the left side of the equation by canceling out the 3 in the numerator and the denominator.
$x+y = 3 \times 5$

Simplify the right side of the equation by performing the multiplication.
$x+y = 15$

To solve for $x$ , we need to isolate $x$ on one side of the equation. We can do this by subtracting $y$ from both sides of the equation.
$x+y-y = 15-y$

Simplify both sides of the equation.
$x = 15-y$
The solution for $x$ in terms of $y$ is $x = 15 - y$ .