Linear Equations in Two Variables

Q. Find the x-intercept of the equation 3x + 4y = 12.

A. 0
B. 2
C. 3
D. 4

Solution

Setting y = 0: 3x + 4(0) = 12 => 3x = 12 => x = 4. The x-intercept is 4.

Correct Answer: B — 2

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Q. If 2x + 3y = 12 and x = 3, what is the value of y?

A. 0
B. 1
C. 2
D. 3

Solution

Substituting x = 3 into the equation: 2(3) + 3y = 12 => 6 + 3y = 12 => 3y = 6 => y = 2.

Correct Answer: C — 2

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Q. If 3x + 5y = 15 and 2x - y = 1, what is the value of y?

A. 1
B. 2
C. 3
D. 4

Solution

Solving the equations simultaneously gives y = 2.

Correct Answer: B — 2

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Q. If 5x + 2y = 20 and y = 5, what is the value of x?

A. 2
B. 3
C. 4
D. 5

Solution

Substituting y = 5 into the equation: 5x + 2(5) = 20 => 5x + 10 = 20 => 5x = 10 => x = 2.

Correct Answer: C — 4

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Q. If the equation of a line is given as 5x + 2y = 10, what is the value of y when x = 0?

A. 0
B. 2
C. 5
D. 10

Solution

Setting x = 0: 5(0) + 2y = 10 => 2y = 10 => y = 5.

Correct Answer: B — 2

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Q. If the equation of a line is y = -2x + 5, what is the value of y when x = 4?

A. -3
B. 0
C. 5
D. 13

Solution

Substituting x = 4: y = -2(4) + 5 => y = -8 + 5 => y = -3.

Correct Answer: A — -3

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Q. What is the point of intersection of the lines 2x + 3y = 6 and 4x - y = 2?

A. (0, 2)
B. (1, 1)
C. (2, 0)
D. (3, -1)

Solution

Solving the equations gives the intersection point (1, 1).

Correct Answer: B — (1, 1)

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Q. What is the slope of the line represented by the equation 4x - 2y = 8?

A. 2
B. 4
C. -2
D. -4

Solution

Rearranging to slope-intercept form: -2y = -4x + 8 => y = 2x - 4. The slope is 2.

Correct Answer: C — -2

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Q. What is the solution to the system of equations: 2x + y = 10 and x - y = 2?

A. (2, 6)
B. (4, 2)
C. (6, 4)
D. (8, 0)

Solution

Solving the system: From x - y = 2, y = x - 2. Substituting into 2x + (x - 2) = 10 gives x = 4, y = 2.

Correct Answer: B — (4, 2)

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Q. What is the y-intercept of the line 6x - 3y = 9?

A. -3
B. 0
C. 3
D. 6

Solution

Setting x = 0: 6(0) - 3y = 9 => -3y = 9 => y = -3. The y-intercept is -3.

Correct Answer: C — 3

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Showing 1 to 10 of 10 (1 Pages)

Linear Equations in Two Variables

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