A. Alright, we want to multiply one equation by a constant to make it cancel out with the second. Since the first equation has a "blank" y, let's multiply the first equation by <em>2</em>.
3x-y=0 → 2(3x-y=0) = 6x - 2y = 0
5x+2y=22
The answer for this part would be: 6x - 2y = 0 and 5x + 2y = 22
B. So now we combine them:
6x - 2y = 0
+ + +
5x + 2y = 22
= = =
11x + 0 = 22 ← The answer
C. Now that we have the equation 11x = 22, we solve for x
11x = 22 ← Divide both sides by 11
x = 2 ← The answer
D. Now that we have x=2, we plug that back in to 5x+2y=22 and solve for y:
5(2)+2y = 22
10 + 2y = 22
2y = 12
y = 6
<u>Therefore, the solution to this problem is x = 2 and y = 6</u>
Since <span> sin(α) > 0 and cos(α) > 0
so </span><span>α is IN THE FIRST QUADRANT (I)</span>
<h3>
Answer: 4900 (choice D)</h3>
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Work Shown:
1 km = 1000 m
3.5 km = 3500 m ............. multiplying both sides by 3.5
(70 paces)/(50 m) = (x paces)/(3500 m)
70/50 = x/3500
7/5 = x/3500
7*3500 = 5x .............. cross multiply
5x = 7*3500
x = (7*3500)/5
x = (7*5*700)/5
x = 7*700
x = 4900
Ann takes 4900 paces to walk 3.5 km