Answer:
C
Step-by-step explanation:
Given the 2 equations
y = 
x + 2 → (1)
- x + 3y = 6 → (2)
Substitute y = x + 2 into (2)
- x + 3( x + 2) = 6 ← distribute left side
- x + x + 6 = 6, that is
6 = 6 ← True
This statement indicates the system has infinitely many solutions
Answer: A 8040 is exactly divisible by 67 the quotient is 120
Step-by-step explanation:
<u>The standard form of linear equation:</u>
<u>Convert each equation into standard form:</u>
<h3>#5</h3>
- 3x = 18
- 3x + 0y - 18 = 0
- A = 3, B = 0, C = - 18
<h3>#6</h3>
- y/2 = - 5
- 0x + 1/2y + 5 = 0
- A = 0, B = 1/2, C = 5
Let there be x quarts of the 20% salt solution, and (25 - x) quarts of the 80% salt solution.
Then the total amount of salt in the 20% portion would be 0.2x, while that from the 80% portion would be (0.8)(25 - x). This would have to total up to (0.44)(25) in the final solution, so the equation is:
0.2x + 0.8(25 - x) = (0.44)(25)
-0.6x + 20 = 11
x = 15 quarts of the 20% salt solution
25 - x = 10 quarts of the 80% salt solution
