Answer: 4x-6y=5
Step-by-step explanation: Using the formula, Ax+By=C, write the equation in standard form.
Hope this helps you out! ☺
Let, speed of 1st bicyclist is x.
So, speed of 2nd bicyclist is x-3 .
We know, relative speed when two objects moves towards each other :
Now, distance travelled in 3 hours is (98-2) miles .
So,
Therefore, speed of bikes are 17.5 mph and 14.5 mph.
Hence, this is the required solution.
Answer:
19 mm
Step-by-step explanation:
A penny is not that large, and you can fit multiple pennies in the palm of your hand. This means that the only reasonable measurement is 19 mm, (& 8 cm, but that is only if you have really large hands). Therefore, (A) is your choice.
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ANSWER
or 
EXPLANATION
For 
We make y the subject to obtain,
We can easily graph this function, because we just have to transform the graph of 
by shifting the intercept up to 
.
As for the straight line, 
,
We find the intercepts as follows,
When 
.
When 
.
We plot the points 
and
.
We now draw the two graphs on the same graph sheet. The intersection of the two graphs gives the solution to be
or
See graph
Answer: x = 4 and y = -3
Step-by-step explanation:
2x + 4y = -4
2x = -4 - 4y
x = -2 - 2y
Now that we have solved the first equation for x, we plug (-2 - 2y) into the other equation in place of x and then solve for y.
3(-2 -2y) + 5y = -3
-6 - 6y + 5y = -3
-y = 3
y = -3
Now that we know y, we plug it into the original equation and solve for x.
2x + 4(-3) = -4
2x + -12 = -4
2x = 8
x = 4
You can check the answer by plugging both x and y into either of the original equations.
