EXERCISES. I.Read the following words paying attention to the pronunciation:

I. Read the following words paying attention to the pronunciation:

pair, where, there, compare, factor, letter, order, other, consider, enter, contain, obtain.

II. Underline all the suffixes and state to what part of speech the words belong:

equation, arbitrary, usually, convenient, corresponding, linear, equally, choosing, alternative, coefficient, numerical, system, factor.

III. Make up sentences of your own using the words and expressions given below:

in one unknown, in two unknowns, in three unknowns, to satisfy the equation, the method for finding, to obtain an equation, to establish.

IV. Answer the following questions:

1. What equations are termed linear? 2. What is the first operation in solving a system of two linear equations in two unknowns? 3. What do you obtain by adding or subtracting the two equations? 4. What operation do you perform to find the second unknown quantity?

V. Translate into Russian:

In order to solve two equations in two unknowns, it is necessary to eliminate one of the unknowns by combining the two equations into one equation, which only contains one of the unknowns. This simple equation is then readily solved for that unknown in the usual way. With one of the original unknowns now known, its value can be substituted for the symbol in one of the equations, and from the resulting simple equation, the other unknown can be found. There
are several methods of eliminating one of the unknowns and combining the two original equations into one.

IV. Translate into English:

Уравнением называется равенство, в котором одно или несколько чисел, обозначенных буквами, являются неизвестными.

Пусть, например, сказано, что сумма квадратов двух неизвестных чисел х и у равна 7; это можно записать при помощи следующего уравнения с двумя неизвестными

x² + у² = 7.

Уравнением первой степени с двумя неизвестными называется уравнение вида

ах + bу = с,

где х и у — неизвестные, а и b (коэффициенты при неизвестных) — данные числа, не равные оба нулю, с (свободный член — absolute term) — любое данное число.

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