Answer:
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Answer:
6x - 3
Step-by-step explanation:
Step 1: Write out expression
2 - 3x - 5 + 9x
Step 2: Combine like terms (x)
2 - 5 + 6x
Step 3: Combine like terms (constants)
-3 + 6x
Step 4: Rewrite
6x - 3
Solve for y in one of the equations.
4x + y = 11
Subtract 4x from both sides.
y = -4x + 11
Substitute y in the other equation.
8x + 2(-4x + 11) = 13
Simplify.
8x + -8x + 22 = 13
Subtract 22 from both sides.
0 = -9
No solutions.
First part of the race
speed1, s1 = 8.75 km/h
distance1 = 5 km - x
time 1 = 0.65 h - t
Second part of the race
speed2, s2 = 6 km/h
distance2 = x
time2 = t
s2 = x/t = 6 ⇒ t = x / 6
s1 = [5 - x] / [0.65 - t] = 8.75
5 - x = 8.75 [0.65 - t]
5 -x = 8.75(0.65) - 8.75t
5 - x = 5.6875 - 8.75 (x/6)
5 - x = 5.6875 - 1.4583x
1.4583 x - x = 5.6875 - 5
0.4583 x = 0.6875
x = 0.6875 / 0.4583 = 1.5