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What is the value of x and y when x+3y=15

User Celebes
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Explanation:

o find the values of x and y in the equation x + 3y = 15, we can use algebraic methods.

Step 1: Start by rearranging the equation to isolate one variable. Let's isolate x by subtracting 3y from both sides of the equation:

x + 3y - 3y = 15 - 3y

This simplifies to:

x = 15 - 3y

Step 2: Now we have an expression for x in terms of y. We can substitute this expression into the original equation to solve for y.

Substituting x = 15 - 3y into the equation x + 3y = 15:

(15 - 3y) + 3y = 15

Step 3: Simplify and solve for y.

15 - 3y + 3y = 15

The -3y and +3y cancel each other out, leaving us with:

15 = 15

Step 4: Since 15 is equal to 15, this means that y can be any value. Therefore, there are infinitely many solutions for y.

Step 5: To find the corresponding values of x, we can substitute the value of y back into the expression x = 15 - 3y.

For example, if we choose y = 0, then:

x = 15 - 3(0)

x = 15

So, when y = 0, x = 15.

Similarly, if we choose y = 2, then:

x = 15 - 3(2)

x = 9

So, when y = 2, x = 9.

In summary, the values of x and y in the equation x + 3y = 15 can vary. For any chosen value of y, you can find the corresponding value of x using the expression x = 15 - 3y.

Hope this helps.

User Svennergr
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