Question

Решить методом почленного сложения (вычитания) систему уравнений 4x - 2y - 10 = 0 3x + 4y - 2 = 0

Answer 1

4x - 2y - 10 = 0 | *2
3x + 4y - 2 = 0

8x - 4y - 20 = 0 | +
3x + 4y - 2 = 0 | +

8x + 3x - 4y + 4y - 20 - 2 = 0 + 0
11x - 22 = 0
11x = 22
x = 2

3*2 + 4y - 2 = 0
4y + 6 - 2 = 0
4y + 4 = 0
4y = -4
y = -1

Answer 2

$\left \{ {{4x-2y-10=0} \atop {3x+4y-2=0}} \right. \left \{ {{4x-2y=10} /*2\atop {3x+4y=2}} \right. \left \{ {{8x-4y=20} \atop {3x+4y=2}} \right. \\ 11x=22\\x=2\\6+4y=2\\4y=2-6\\4y=-4\\y=-1 \\ \\ \left \{ {{x=2} \atop {y=-1}} \right.$