Answer:
(3, 2)
Step-by-step explanation:
First, we have to eliminate a variable:
3(5x+2y = 19
)
2(4x-3y = 6)
------------------
15x+6y = 57
8x-6y = 12
Now we add the system of equations together:
15x+8x+6y-6y = 57+12
23x = 69
/23 /23
x = 3
Now we can plug this value back into one of the equations to get y:
5(3)+2y = 19
15+2y = 19
-15 -15
2y = 4
/2 /2
y = 2
Therefore, the solution to these system of equations is (3, 2)
(-2)³ = -8
-4⁴ = 256
= 125/216
= 1/4³ = 1/64 (every number with negative exponent is equivalent to the opposite of the number itself)
2-(-3)² = 2-(+9) = 2-9 = -7
-(-7)⁰ = -1 (every number elevated to 0 is 1)
1-3⁻¹ = 1-1/3 = 2/3
As a mixed number it is, 3 24/100. Reduced is 3 6/25
Answer :
6. x=28
7.x =6
8. x =9
9. x =9
Step-by-step explanation:
6.
(x+2)/10 = 3
Cross multiply
x+2 = 10 ×3
x+2 =30
Collect like terms and simplify
x =30-2
x = 28
7.
8x +9 -5x= 27
Collect like terms and simplify
8x-5x =27-9
3x =18
Divide both sides of the equation by 3
3x/3 = 18/3
x = 6
8.
10x+8=8x+26
Collect like terms
10x-8x=26-8
2x = 18
Divide both sides of the equation by 2
2x/2 = 18/2
x = 9
9.
2(x-5)+4x=x+35
Use 2 to open the bracket
2 × x =2x
2×(-5) =-10
2x-10+4x =x+35
Collect like terms and simplify
2x+4x-x = 35+10
5x = 45
Divide both sides of the equation by 5
5x/5 = 45/5
x =9
Answer:
B1: -9, -3, and 10
B2: 5
Step-by-step explanation: