Slope of <span>y= x/6-5 = 1/6</span>
To substitute, solve for one variable and then plug it into the other equation you have. In this problem, y is already solved for on the top equation (y=x+2), so you just stuff it into the second equation.
y = x + 2
3y = 4x - 2
3(x + 2) = 4x - 2
3x + 6 = 4x - 2
-x = -8
x = 8
y = x + 2 = 8 + 2 = 10
solution:
x = 8
y = 10
hope this helps!! :)
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Answer:
3.2 miles
Step-by-step explanation:
Given that Mary drives 9 miles north and 6 miles east to get there, the resultant miles will be achieved by using pythagorean theorem
R = sqrt ( 9^2 + 6^2 )
R = sqrt ( 81 + 36 )
R = sqrt ( 117 )
R = 10.82 miles
while Ben drives 3 miles south and 7 miles west
Use the same pythagorean theorem to find the resultant displacement
R = sqrt ( 3^2 + 7^2 )
R = sqrt ( 9 + 49 )
R = sqrt ( 58 )
R = 7.62 miles
The difference in miles to where Mary and Benjamin live will be difference in the resultant displacement of the two
Difference = 10.82 - 7.62 = 3.2 miles.
Therefore, Mary live 3.2 miles from Benjamin.
