If degree of variable is one then eq. is linear
so given is linear.
8 16/1000 = 8 2/125
Keep whole number the same, divide the numerator and denominator by 8.
Answer:(x,y)=(8,18)
Step-by-step explanation:
Given
5x-2y=4-------1
Second Equation
-2x+y=2-----2
Now multiply equation 2 by 2 and it to equation 1
5x-4x+0=8
x=8
substitute it in equation 1
36=2y
y=18
Therefore
(x,y)=(8,18)
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
5x + y = 21 → (1)
x - 3y = 9 → (2)
Multiply (1) by 3 and add the result to (2) to eliminate y term
15x + 3y = 63 → (3)
Add (2) and (3) term by term
(x + 15x) + )- 3y + 3y) = (9 + 63)
16x = 72 ( divide both sides by 16 )
x = 4.5
Substitute x = 4.5 into (1) for corresponding value of y
22.5 + y = 21 ( subtract 22.5 from both sides )
y = - 1.5
Solution is (4.5, - 1.5 )
Answer:
15 boys and 25 girls
Step-by-step explanation:
The sum of boys (b) and girls (g) is given as 40:
g + b = 40
The number of girls is 2 times the number of boys minus 5:
2b - 5 = g
First formula can be rewritten as g = 40 - b
Then you can substitute this for g in the second, and you get:
2b-5 = 40-b
Which simplifies to:
2b + b = 40 + 5
3b = 45
b = 15
g = 40-15 = 25
15 boys, 25 girls.
