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1 answer:
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Answer:
(,
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Step-by-step explanation:
Hi there!
We are given the following system of equations:
-3x-3y=3
-5x+y=13
and we need to find the solution (the point at which the 2 lines intersect)
let's solve this by substitution, where we will set one variable equal to an expression containing the other variable, and then substitute that expression into the other equation to solve for the variable that the expression from earlier contains, and then use the value of the solved variable to find the value of the first variable
in the second equation, add 5x to both sides to isolate y by itself
y=5x+13
now substitute 5x+13 as y in -3x-3y=3
-3x-3(5x+13)=3
do the distributive property
-3x-15x-39=3
combine like terms
-18x-39=3
add 39 to both sides
-18x=42
divide both sides by -18
x=
now we need to find y
remember: y=5x+13
substitute as x in y=5x+13
y=5()+13
multiply
y=+13
add
y=
So the answer is x=, y=
. As a point, it's (
,
)
Hope this helps! :)
Answer:
Step-by-step explanation:
Let the time for which i bike is = x hours
Let the distance traveled in x hours = y miles
Ratio of distance and time will be = x : y
I travel 11.2 miles in 1.4 hours then the ratio of time and the distance traveled will be 1.4 : 11.2 Or 14 : 112
then the ratio of distance and time will be same in both the cases
So equation will be
Therefore, equation representing the proportional relationship will be