Answer:
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12.) First find the rate of miles/hour that the Morales family drove: 312 miles/6 hours = 52 miles/hour. To find how far they travel in 8 hours, multiply that rate by 8. 52 x 8 = 416. If they drive for 8 hours, they will travel 416 miles.
Therefore
(4y+6) +y = 46
We can combine the like terms:
5y + 6 = 46
Subtract 6 on both sides:
5y+6-6=46-6
Therefore 5y =40
Divide by 5 on both sides
5y/5 = 40/5
Therefore
y= 8
We found y but to find the value x we use y.
X= 4y+6
Therefore
x= (4*8)+ 6
Therefore
x= 32 + 6
x= 38.
Plugging in (2,-7) into
y=-5x+b, we get that b=3.
Therefore, the equation is y=-5x+3
