For the first one, I will solve for t.
s + 2t = 6, first we isolate the t variable,
2t = -s + 6, divide both sides by 2,
t = -s/2 + 3, < There's your answer for 1!
Here's the second one,
3s - 2t = 2, subtract 3s from both sides,
-2t = 2 - 3s, divide both sides by -2,
t = -1 + 3s/2 < There's your second answer!
We can rearrange 3x+y=9 to look more conventional by subtracting 3x from both sides and making it y= -3x+9.
Now we want to find a line that is parallel to this and goes through the point (0,-4). We know that -3 is the slope. With this in mind, if we want the other line to be parallel then it must have the same slope so that they never intersect. This gives us one of the numbers we need for the second line.
This means our second equation is looking like; y= -3x+b. This means we need to find b (the y-intercept) but we are also given a point it must go through and this is (0,-4). We simply plug this in into our new equation we need to solve and we get ; -4 = -3(0) + b . "since 0 is the x and -4 is the y" . From this we get that b= -4. This means the equation of a line parallel is:
y = -3x-4
Answer:
39.5
Step-by-step explanation:
25*1.58
<u>Subtracting Fractions with Different Denominators</u>
(Picture Included)
<h2>Answer:</h2><h2><u>-1 </u></h2><h2>
6 </h2><h2 /><h3>
Find the least common denominator</h3>
6 is our least common denominator, so multiply <u>2⋅3=6</u>, and do the same thing to the numerator. <u>1⋅3=3</u>
<u>now, the second fraction. 3⋅2=6</u>
Again, if you multiply from the bottom, do it to the top.
<u>2⋅2=4</u>
<h3>3/6-4/6= -1/6</h3>
(3 - 4 = -1)