1) 2/3(7-2х)= 1/2|÷(2/3)
(7-2x)=(1/2)÷(2/3)
7-2x=(1×3)/(2×2)
-2x=(3/4)-7
-2x=(3-7×4)/4
-2x=-(25/4)|÷(-2)
x=25/8
x=3(1/8)
x=3,125
2) 5(y-2x)=1/2z
5y-10x=(1/2)z
z=(5y-10x)÷(1/2)
z=(5y-10x)×2
z=10y-20x
5y=0,5z+10x
y=(0,5z+10x)/5
y=0,1z+2x
5y-10x=(1/2)z
-10x=0,5z-5y|÷(-10)
x=(0,5z-5y)/(-10)
x=0,5y-0,05z
2( 4х - у ) + 3( 4х + у ) = 32
5( 4х - у ) - 2( 4х + у ) = 4
Решение
4х - у = а ; 4х + у = b
2a + 3b = 32
5a - 2b = 4
2b = 5a - 4
b = 2,5a - 2
2a + 3( 2,5a - 2 ) = 32
2a + 7,5a - 6 = 32
9,5a = 38
a = 4
b = 2,5 • 4 - 2 = 8
4x - y = 4
4x + y = 8
8x = 12
X = 1,5
y = 8 - 4•1,5 = 8 - 6 = 2
Ответ ( 1,5 ; 2 )
(2x-1)²=4x²+9
4x²-4x+1-4x²-9=0
-4x-8=0
-4x=8
x=-2
Ответ: -2.