Step-by-step explanation:
4x−5y=6
−8x+10y=−12
Isolate x for 4x –5y = 6: x=6-5y/4
Substitute x= 6+5y/4
[-8 (6-5y/4) +10y=-12]
Simplify
[-12= -12 ]
The solutions to the system of equations are:
x=6+5y/4
Answers:
- b
- c
- d
- a
- e
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Explanation:
The general form of a slope intercept equation is y = mx+b
m = slope
b = y intercept
Something like y = (-7/6)x + 1 matches with y = mx+b such that m = -7/6 is the slope and b = 1 is the y intercept. So that's why problem 1 matches with choice b (in column B).
Similar situations apply for problems 2 and 3
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For problem 4, we can see the slope is m = -1, but unfortunately m = -1 isn't listed in column B. However, m = -7/7 is listed. So this is why problem 4 matches with choice a. This leaves problem 5 to match with choice e.
note: 6/7 = 12/14 after multiplying top and bottom by 2.
Answer:
The trip is 45 and 1/2 miles long
Step-by-step explanation:
Term 1, n = 1
5 + 2 × 1 = 5 + 2 = 7
term 2, n = 2
5 + 2 × 2 = 5 + 4 = 9
term 3, n = 3
5 + 2 × 3 = 5 + 6 = 11
term 4, n = 4
5 + 2 × 4 = 5 + 8 = 13
7, 9, 11, 13