<span>y = 2−x and y = 4x + 3
Let I be the point of intersection:
I belongs to the line y=2-x and at the same time I belongs to y=4x+3, then the coordinates of I are the same for y =2-x & y= 4x+2, in short if we replace the coordinates in y = 2-x & in y=4x+3 by their respective values, we will find an equality.
b) <span>2−x = 4x + 3
Replace x in the equation 2−x = 4x + 3 with the here below values to find if an equality exists
for x = -3 then </span> 2-(-3) = 4(-3)+3 → 5 = -9 IMPOSSIBE, it's not an equality
for x = 2 then 2-2 = 4(2)+3 →<span> 0 = 11 IMPOSSIBE, it's not an equality
</span>for x = 1 then 2-(1) = 4(1)+3 →<span> 1 = 7 IMPOSSIBE, it's not an equality
</span>for x = - 1 then 2-(-1) = 4(-1)+3 →<span> 3 = -1 IMPOSSIBE, it's not an equality
and you can replace x with all integers from - 3 to + 3 and you will find an INEQUALITY, so all these values are not a solution of thev equation
c. Solving the equation </span><span>2−x = 4x + 3
</span><span>2−x = 4x + 3
1st add x to both sides: 2-x + x = 4x + 3 + x </span>→2 = 5x + 3
2nd to this new equation <span>2 = 5x + 3, subtract 3 from both sides:
</span><span>2 - 3= 5x + 3 - 3 </span>→-1 = 5x
3rd in this new equation -1=5x, divide both sides by 5 → -1/5 = x
And x = -1/5 is the solution of the system. To find the y value, you replace in any of the 2 equation <span>y = 2−x and y = 4x + 3, x by its value (-1/5) and you will find y = 11/5</span>
</span>
8 1/3 hours :)))))))))))))))))
12x=100
X=100/12
X= 8 1/3
Find 30% of the item and then subtract from the original value.
Find 70% of the item and that is your answer.
Answer:
Answer: <u> </u><u>y</u><u> </u><u>=</u><u> </u><u>x</u><u> </u><u>+</u><u> </u><u>1</u><u> </u>
Step-by-step explanation:
» At point of intersection:
» Point of intersection is (1, 2)
• General equation of a line:
- m is slope
- c is y-intercept
» Consider point (1, 2);
Equation:
This whole ugly thing is just 6 numbers that are all multiplied.
Here they are:
(-7) · (x⁶) · (y⁻³) · (5) · (x⁻¹) · (y) .
To help you see what's going on, I'm going to rearrange them
and write them in a different order. (You'll remember that when
you multiply, the order of the numbers doesn't matter.)
(-7)·(5) · (x⁶)·(x⁻¹) · (y⁻³)·(y) .
I'll bet you can see it already. It's really starting to fall apart.
Remember that when you have to multiply the same base to
different powers, you just add the powers.
So here's the multiplication:
(-7)·(5) · (x⁶)·(x⁻¹) · (y⁻³)·(y) .
| | |
-35 · x⁵ · y⁻²
-35 x⁵ y⁻²
or you could write it as -35x⁵ / y² which is the same thing.
