First, let's multiply the first equation by two on the both sides:
<span>8x + 7y = 39 /2
</span>⇒ 16x + 14y = 78
Now, the system is:
<span>16x + 14y = 78
</span><span>4x – 14y = –68
</span>
After adding this up in the column:
(16x + 4x) + (14y - 14y) = 78 - 68
20x = 10
⇒ x = 10/20 = 1/2
y can be calculated by replacin the x:
<span>8x + 7y = 39
</span>⇒ 8 · 1/2 + 7y = 39
4 + 7y = 39
7y = 39 - 4
7y = 35
⇒ y = 35 ÷ 7 = 5
Answer:
No, the bolt won't fit into the hole
Step-by-step explanation:
We need to convert the diameter of the bolt into decimal by dividing:
2/9 = 0.222...
The hole has diameter of 0.2
<em>Hence, 0.222 is larger than 0.2, so the bolt won't fit.</em>
Step-by-step explanation:
2*5*9*x = 540
x = 540/90 = 54/9 = 6
option D
Answer:
5 and -5
Step-by-step explanation:
3x² = 75
x² = 75/3
x² = √25
x = 5 and - 5
Answer:
Alternate interior angles theorem
Step-by-step explanation:
Alternate interior angles theorem
