To find the y-intercept, we can convert this to slope-intercept form, or replace the value of x with 0 and solve for y.
We'll do both first.
-x + 5y = 45
5y = 45
Divide both sides by 5.
y = 9
Now let's convert it to slope-intercept.
-x + 5y = 45
Add x to both sides.
5y = 45 + x
Divide both sides by 5.
y = 1/5x + 9
y = 9
<h3><u>The y-intercept of our line is 9.</u></h3>
Answer:
The x coordinate would be 4.
Step-by-step explanation:
In order to find this, we'll make the y terms cancel. To do this, we need to multiply the whole second term by -1 and then add them together.
3x + 5y = 10
-x - 5y = -2
-----------------
2x = 8
Now that we have this, we can divide to get the answer.
2x = 8
x = 4
Number of possible combinations = (4x3) ÷ 2 = 6
Answer: There are 6 possible combinations.
