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Linear equations in two variables SAT question

Math · Algebra · Hard · Answer it here, explanation included.

The line with the equation $four fifths x, plus one third y, equals 1$ is graphed in the xy‑plane. What is the x-coordinate of the x‑intercept of the line?

Enter a number or fraction (like 3/17 or 0.176). Press Enter to check.

ExplanationShow

The correct answer is 1.25. The y-coordinate of the x-intercept is 0, so 0 can be substituted for y, giving $four fifths x, plus one third times 0, equals 1$ . This simplifies to $four fifths x, equals 1$ . Multiplying both sides of $four fifths x, equals 1$ by 5 gives $4 x equals 5$ . Dividing both sides of $4 x equals 5$ by 4 gives $x equals five fourths$ , which is equivalent to 1.25. Note that 1.25 and 5/4 are examples of ways to enter a correct answer.

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Linear equations in two variables SAT question

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