Advertisements
Advertisements
Question
Solve the following equations for the unknown: 2x - (3x - 4) = 3x - 4
Solution
2x - (3x - 4) = 3x - 4
Collecting like terms,
⇒ 2x - 3x - 3x = -8
⇒ -4x = -8
⇒ x = 2.
APPEARS IN
RELATED QUESTIONS
Solve the following equation:
(x - 1 )(x + 6) - (x - 2)(x - 3) = 3
Solve the following equation:
2x + 5 = 5
24 = y + 2y + 3 + 4y
The numerator of a fraction is four less than its denominator. If 1 is added to both, is numerator and denominator, the fraction becomes `1/2` Find the fraction.
Solve the following equations for the unknown: (6p + 9)2 + (8p - 7)2 = (10p + 3)2 - 71
Solve the following equation for the unknown: `(4x)/(27) = (8)/(9)`
Two numbers are in the ratio 2:3. If their sum is 150, find the numbers
Two planes start from a city and fly in opposite directions, one averaging a speed of 40 km/h more than that of the other. If they are 3400km apart after 5 hours, find their average speeds.
The perimeter of a rectangular field is 100 m. If its length is decreased by 2 m and breadth increased by 3 m, the area of the field is increased by 44 m2. Find the dimensions of the field.
A man buys two articles at Rs 410. He sells both at the same price. On one he makes a profit of 15% and on the other a loss of 10%. Find the cost price of both.
