Question the-li

1.3 Linear Equations in Two Variables - Intercepts and slope applications
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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?

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The line with the equation is graphed in the xy ‑plane. What is the x -coordinate

Hard-difficulty · SAT Math · Linear Equations in Two Variables — Intercepts and slope applications. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

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.