The minimum quantity variable which is might contain by the system of the equations is equal to two. To find the common decision a system - it means to find such value x and at at which postavleniye in each equation right equalities will turn out.
Instruction
1. There are several ways to decide or to simplify, at least, the system of the equations. It is possible to take out the general multiplier for a bracket, to subtract or put the system equations that to receive new the simplified equality, but the easiest way is to express one variable through another and to solve the equations serially.
2. Take the system of the equations: 2kh-y+1=5; x+2y-6=1. From the second equation of a system express x, having transferred other members of expression to the right side for an equal-sign. It is necessary to remember that at the same time the signs standing at them need to be replaced with opposite, that is ""+" on "" -"" and vice versa: x to a =1-2 +6; x to a =7-2.
3. Substitute this expression in the first equation of a system instead of x: 2 * (7-2nd) - at +1=5. Remove the brackets: 14-4u-u +1=5. Make addition of equal sizes - free numbers and coefficients at a variable: - 5u +15=5. Transfer free numbers for an equal-sign: - 5u =-10.
4. Find the general multiplier equal to coefficient at a variable at (here it will equal-5): at =2. Substitute the turned-out value in the simplified equation: x to a =7-2; x =7-2*2=3. Thus, it turns out that the common decision of a system is the point with coordinates (3;2).
5. One more way to solve this system of the equations consists in distributive property of addition and also the law of multiplication of both members of equation by an integer: 2kh-y+1=5; x+2y-6=1. Increase the second equation at 2:2kh +4u-12=2. Subtract the second from the first equation: 2kh-2kh-at-4u +1+13=5-2.
6. Thus get rid of a variable x: - 5u +13=3. Transfer numerical data to the right side of equality, changing at the same time the sign: - 5u =-10; It turns out at =2. Substitute the received value in any equation of a system and receive also =3.