Answer:

Step-by-step explanation:
multiply first equation by 4 and second by 3 respectively:

combine the equations:

divide both sides by -48:

substitute the value of y to the second equation

simplify multiplication:

cancel 12 from both sides:

divide both sides by 4

therefore our solution is

Answer:
(4, 18)
Step-by-step explanation:
We can just pluck the x values into the equation: y = 5x -1 to see if the y values fit.
1. y = 5(4) - 1
= 20 - 1
= 19 (Nope, 18 is not 19)
2. y = 5(3) - 1
= 15 - 1
= 14 (Yep, same as option)
3. y = 5(0) - 1
= 0-1
= -1 (Yep, same as option)
4. y = 5(2) - 1
= 10 - 1
= 9 (Yep, same as option)
Answer:
x=1
Step-by-step explanation:
6x-14=2-10x
First step is to add 10x to each side
6x+10x-14=2-10x+10x
16x-14=2
Now add 14 to each side
16x-14+14=2+14
16x=16
Divide each side by 16 to isolate x
16x/16 =16/16
x =1
1. 36 = 6·6 and 42 = 6·7 have a common factor of 6.
... x⁴ and x² have a common factor of x²
The GCF is 6x².
The factorization is 36x⁴ -42x² = 6x²(6x² -7)
2. All coefficients are multiples of 4. All variable factors are multiples of x³.
The GCF is 4x³.
The factorization is 4x⁵ -8x⁴ -4x³ = 4x³(x² -2x -1)
3. The GCF of coefficients 6 and 15 is (15 mod 6) = 3, which is also a factor of the other coefficients. The lowest power of m, which is m² is also a factor of the other terms.
The GCF is 3m².
The factorization is 6m⁵ -15m⁴ -21m³ +27m² = 3m²(2m³ -5m² -7m +9)
No, because 3 8/35 is already written in simplest form