In the expression 5x + 3y = 15, if x = 2, what is the value of y?

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Question: In the expression 5x + 3y = 15, if x = 2, what is the value of y?

Options:

Correct Answer: 3

Solution:

Substituting x = 2 into the equation gives 5(2) + 3y = 15, which simplifies to 10 + 3y = 15. Thus, 3y = 5, and y = 5/3.

In the expression 5x + 3y = 15, if x = 2, what is the value of y?

In the expression 5x + 3y = 15, if x = 2, what is the value of y?

Step 1: Start with the equation 5x + 3y = 15.
Step 2: Substitute the value of x (which is 2) into the equation. This means replacing x with 2.
Step 3: The equation now looks like this: 5(2) + 3y = 15.
Step 4: Calculate 5 times 2, which is 10. So now the equation is 10 + 3y = 15.
Step 5: To isolate 3y, subtract 10 from both sides of the equation. This gives you 3y = 15 - 10.
Step 6: Calculate 15 - 10, which equals 5. Now the equation is 3y = 5.
Step 7: To find y, divide both sides of the equation by 3. This gives you y = 5/3.

Algebraic Substitution – The process of replacing a variable in an equation with a given value to solve for another variable.
Linear Equations – Understanding and manipulating linear equations in two variables.