Answer:
a) Infinite solutions
b) No solutions
Step-by-step explanation:
First, know the following:
If the graphs intersect, there's only one solution.
If the graphs are parallel, there are no solutions.
If the graphs are the exact same line, there are infinite solutions.
For a):
Change the first equation into a linear one.
Change the second equation into a linear one.
- 4x+6y=12
- 6y=-4x+12
Boom. You have two equations which are equal. As stated above, graphs on the exact same line have infinite solutions.
For b)
They are already in linear form so hurray.
These lines are parallel since they have the SAME slope but a different y-intercept. As stated above, parallel lines have no solutions.
So the first thing you want to do when faced with two fractions with different denominators (when subtracting or adding) is to make the denominators the same. So for this equation they would turn out to be p+10/16=15/16 (because 16 is the lowest common denominator, 8 times two) so then you want to subtract 10/16 from 15/16 to isolate the variable (p) which would get:
p=5/16
This is the final answer because it cannot be simplified.
Hope this helps!
You didn’t give the rest of the answer hun
Im not sure but I’ll go with c :)
Answer:
Step-by-step explanation:
<u>Given:</u>
<u>Solve for </u>
<u> in the 1st equation:</u>
<u>Substitute the value of </u><u> into the 2nd equation and solve for </u>
<u>:</u>
<u>Substitute the value of </u><u> into the 3rd equation and solve for </u>
<u>:</u>
<u>Plug </u><u> into the solved expression for </u><u> and evaluate to solve for </u><u>:</u>
<u>Plug </u><u> into the solved expression for </u><u> and evaluate to solve for </u><u>:</u>
Therefore:
