Algebra Practice Test 2025 – 400 Free Practice Questions to Pass the Exam

Question: 1 / 400

What is the value of y in the system of equations 3x - 3y = 3 and x - 5y = -3?

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To solve the system of equations 3x - 3y = 3 and x - 5y = -3, we start by simplifying and rearranging the first equation. Dividing the entire equation by 3 gives:

x - y = 1

This can be rewritten as:

x = y + 1 (1)

Now we substitute this expression for x into the second equation:

(y + 1) - 5y = -3

Simplifying this results in:

y + 1 - 5y = -3

-4y + 1 = -3

-4y = -4

y = 1

Thus, the value of y is indeed 1.

This systematic substitution method not only leads us to the correct value but also allows us to verify that y = 1 satisfies both original equations when substituting it back. This consistency confirms the value obtained is correct.

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