Use the method of addition and subtraction to solve the following equations: the first problem x-2y = 13X + 2Y = 11, the second problem 2x-y = 33x + y = 7

Use the method of addition and subtraction to solve the following equations: the first problem x-2y = 13X + 2Y = 11, the second problem 2x-y = 33x + y = 7

x-2y＝1 (1)
3x+2y＝11 (2)
(1) + (2) get: 4x = 12, x = 3
Substituting (1) into the solution, y = 1
2x-y＝3 (1)
3x+y=?(2)
(1) + (2) get: 5x = 3 +?, x = (3 +?) / 5
Substituting (1) into the solution, y = 3-2 * (3 +?) / 5

Solve the following equations: X-2 / 3x-1 = 2Y, 2 (x + y) - 5x + y = - 4

x-3=6y
-x+y=-4/3
-3+y=6y-4/3
-3+4/3=5y
y=-1/3
x=1

Using image method to solve equations 3x-2y = - 1,6x + y = 10.5

Draw the function image y = 10.5-6x; y = 1.5x + 0.5, the intersection is the solution of the equation!

Given that the quadratic trinomial 3x ^ 2-ax + 6 is a complete square, then the value of a is?

Let 3x & # 178; - ax + 6 = (√ 3x ± √ 6) &# 178; = 3x & # 178; ± 2 × √ 3x × √ 6 + 6,
∴－a=±2×√3×√6,
∴a=±6√2.

Factorization: (x ^ 3-3x ^ 2) - (x ^ 2-x-6)

The original formula = x & sup2; (x-3) - (x-3) (x + 2)
=(x²-x-2)(x-3)
=(x-2)(x+1)(x-3)

Factorization (x + 1) (x + 2) (x + 3) (x + 6) - 3x ^ 2

(x+1)(x+2)(x+3)(x+6)-3x^2 =[(x+1)(x+6)][(x+2)(x+3)]-3x^2 =(x^2+7x+6)(x^2+5x+6)-3x^2=(x^2+6x+6+x)(x^2+6x+6-x)-3x^2=(x^2+6x+6)^2-4x^2=(x^2+8x+6)(x^2+4x+6)

Decomposition factor: (x + 1) (x + 2) (x + 3) (x + 6) - 3x ^ 2

(x+1)(x+2)(x+3)(x+6)-3x^2
=[(x+1)(x+6)][(x+2)(x+3)]-3x^2
=(x^2+7x+6)(x^2+5x+6)-3x^2
=(x^2+6x+6+x)(x^2+6x+6-x)-3x^2
=(x^2+6x+6)^2-4x^2
=(x^2+8x+6)(x^2+4x+6)

Factorization of X * 3-3x + 2

X ^ 3-3x x ^ 2
=x^3-x-2x+2
=x(x^2-1)-2(x-1)
=x(x+1)(x-1)-2(x-1)
=(x-1){x(x+1)-2}
=(x-1)(x^2+x-2)
=(x-1)(x-1)(x+2)
=(x-1)^2 (x+2)

Factorization factor (x + 2) (x-3) - 3x + 10

（x＋2)(x－3)－3X＋10
=x²-x-6-3x+10
=x²-4x+4
=(x-2)²

Finding X by subtracting 3x from the square of x plus 1 = 0

X＾2-3X+1=0
=> (X-3/2)＾2+1-9/4=0
=>(X-3/2)＾2=5/4
=>X-3 / 2 = (1 / 2) * (root 5) or x-3 / 2 = - (1 / 2) * (root 5)
=>X = (3 + radical 5) / 2 or x = (3-radical 5) / 2