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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1913 Excerpt: ...4. When a minus sign precedes a fraction, change the signs of all terras resulting from the multiplication of the fraction after canceling its denominator. 5. Never multiply any equation until all like terms are collected. 6. When an equation has both literal and numerical denominators, (1) Factor literal denominators if factorable. (2) Multiply every term of the equation by the least common denominator of the numerical denominators, L.C.N.D. (3) Collect all integral terms. (4) When possible, divide the equation by the largest number which will evenly divide both members. (5) Multiply by the least common denominator of the literal denominators. 162. Change of Signs. In the subsequent work attention is called to the following: By the law of signs in division, (1) All signs in either numerator or denominator may be changed provided the sign before the fraction is changed. (2) All signs in both numerator and denominator may be changed without changing the sign of the fraction. 163. Examples. Solve the following equations:. x+2 14 3+5x 5x 5x 9 3-x CHAPTER X SIMULTANEOUS SIMPLE EQUATIONS Section 1, Two Unknowns. Section 2, Three Oh More Unknowns. 164. Definition. Simultaneous equations are equations having the same unknown quantities with the same respective values. Simultaneous simple equations, therefore, are simple equations containing the same two or more unknown quantities so related that the values of the unknown quantities in one of the equations are the same respectively as in the other equations. 166. Solution. Generally speaking, solution is possible only when the number of given equations is the same as the number of unknown quantities. For example, any given equation like 5x--3j/ = 7 in which there are two unknowns x and y, cannot be solved. To make ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1913 Excerpt: ...4. When a minus sign precedes a fraction, change the signs of all terras resulting from the multiplication of the fraction after canceling its denominator. 5. Never multiply any equation until all like terms are collected. 6. When an equation has both literal and numerical denominators, (1) Factor literal denominators if factorable. (2) Multiply every term of the equation by the least common denominator of the numerical denominators, L.C.N.D. (3) Collect all integral terms. (4) When possible, divide the equation by the largest number which will evenly divide both members. (5) Multiply by the least common denominator of the literal denominators. 162. Change of Signs. In the subsequent work attention is called to the following: By the law of signs in division, (1) All signs in either numerator or denominator may be changed provided the sign before the fraction is changed. (2) All signs in both numerator and denominator may be changed without changing the sign of the fraction. 163. Examples. Solve the following equations:. x+2 14 3+5x 5x 5x 9 3-x CHAPTER X SIMULTANEOUS SIMPLE EQUATIONS Section 1, Two Unknowns. Section 2, Three Oh More Unknowns. 164. Definition. Simultaneous equations are equations having the same unknown quantities with the same respective values. Simultaneous simple equations, therefore, are simple equations containing the same two or more unknown quantities so related that the values of the unknown quantities in one of the equations are the same respectively as in the other equations. 166. Solution. Generally speaking, solution is possible only when the number of given equations is the same as the number of unknown quantities. For example, any given equation like 5x--3j/ = 7 in which there are two unknowns x and y, cannot be solved. To make ...
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