Question

№363 а)x+2=4-x б)3x+1=5x-3 в)2x-3=2-3x №365 г)x+(x+1)+(x+2)=9 д)(z-2)+(z-1)+z=-3 е)21+(20-4x)-(11-2x)=0

Answer 1

А)х+2=4-х
х+х=4-2
2х=2
х=2:2
х=1
б)3х-5х= -3-1
-2х=-4
х=-4:(-2)
х=-2
в)2х+3х=2+3
5х=5
х=5:5
х=1
г)1х+1х+1+1х+2=9
1х+1х+1х=9-1-2
3х=6
х=6:3
х=2
д)1z-2+1z-1+2=-3
1z+1z=-3+2+1-2
2z=-2
z=-2:2
z=-1
е)21+20-4х-11+2х=0
21+20-11+0=4х-2х
30=2х
х=-30:2
х=-15

Answer 2

Let's solve each of the given equations step by step:

№363: a) $x + 2 = 4 - x$

First, let's isolate $x$ by moving $x$ from the right side to the left and moving $2$ from the left side to the right:

$x + x = 4 - 2$

$2x = 2$

Now, divide both sides by $2$ to solve for $x$:

$x = 1$

b) $3x + 1 = 5x - 3$

First, let's isolate $x$ by moving $3x$ from the right side to the left and moving $1$ from the left side to the right:

$3x - 5x = -3 - 1$

$-2x = -4$

Now, divide both sides by $-2$ to solve for $x$:

$x = 2$

c) $2x - 3 = 2 - 3x$

Let's isolate $x$ by moving $-3x$ from the right side to the left and moving $-3$ from the left side to the right:

$2x + 3x = 2 + 3$

$5x = 5$

Now, divide both sides by $5$ to solve for $x$:

$x = 1$

№365: g) $x + (x + 1) + (x + 2) = 9$

Let's simplify the left side:

$x + x + 1 + x + 2 = 9$

Combine like terms:

$3x + 3 = 9$

Now, isolate $x$ by moving $3$ to the right side:

$3x = 9 - 3$

$3x = 6$

Now, divide both sides by $3$ to solve for $x$:

$x = 2$

h) $(z - 2) + (z - 1) + z = -3$

Let's simplify the left side:

$z - 2 + z - 1 + z = -3$

Combine like terms:

$3z - 3 = -3$

Now, isolate $z$ by moving $-3$ to the right side:

$3z = 0$

Now, divide both sides by $3$ to solve for $z$:

$z = 0$

i) $21 + (20 - 4x) - (11 - 2x) = 0$

Let's simplify the left side:

$21 + 20 - 4x - 11 + 2x = 0$

Combine like terms:

$10 - 2x = 0$

Now, isolate $x$ by moving $10$ to the right side:

$-2x = -10$

Now, divide both sides by $-2$ to solve for $x$:

$x = 5$