There are many ways to check if the point (1,3) is a solution to the linear equation
.
Let us check it by expressing y in terms of x.
The given expression is 5x-9y=32. If we add -5x to both sides we will get:

Multiplying both sides by -1 we will get:

In order to isolate y, we will divide both sides by 9 to get:

Now let us plug in the given value of x=1 from the point (1,3). This should give us y=3. Let us see if we get y=3 when we plug x=1 in the above equation.


Thus, we see that when x=1, y=-3 and that
and hence we conclude that the point (1,3) is not a solution to the original given linear equation 5x-9y=32.
For a better understanding of the explanation given here a graph has been attached. As can be seen from the graph, (1,3) does not lie on the straight line that represents 5x-9y=32, but (1,-3) does lie on it as we had just found out.
Answer:
if each tub is $12 the student would make $288
Step-by-step explanation:
Answer:

Step-by-step explanation:
<u>Given data:</u>
Base = b = 4 cm
Height = h = 4 cm
<u>Required:</u>
Area of triangle = A = ?
<u>Formula:</u>
A = bh / 2
<u>Solution:</u>
A = (4)(4) / 2
A = 16 / 2
A = 8 cm²
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
Deijah has $6.25.
Now, this 6.25 is comprised of 0.05s and 0.25s.
We know that there are 12 0.25s.
We now want to know how many remaining 0.05s there are.
Again, we know that the number of 0.05s he has, which is 12, multiplied by 0.05, plus the number of 0.25s he has, multiplied by 0.25, equals 6.25.
Thus, the answer is A, 0.25 x 12 + 0.05 x n = 6.25.