6 + 3y = 4y +2
3y - 4y = 2 - 6
-y = -4
y = 4
hope that helps :)
Answer:
y = 5x
Step-by-step explanation:
Option C
<u>
Answer:
</u>
The equation in slope intercept form is ![-\frac{5}{12} x-\frac{11}{12}](https://tex.z-dn.net/?f=-%5Cfrac%7B5%7D%7B12%7D%20x-%5Cfrac%7B11%7D%7B12%7D)
The slope is
and y-intercept is ![-\frac{11}{12}](https://tex.z-dn.net/?f=-%5Cfrac%7B11%7D%7B12%7D)
<u>Solution:
</u>
The slope - intercept form equation of line is given as
y = mx + c ---- eqn(1)
Where m is the slope of the line. The coefficient of “x” is the value of slope of the line.
c is the y – intercept which is the value of y at the point where the line crosses the y-axis
From question, given that -5x - 12y = 11 --- eqn (2)
On converting equation (2) in slope – intercept form, that is adding 5x on both sides,
-5x - 12y + 5x = 5x + 11
-12y = 5x + 11
Now on dividing -12 on both sides,
---- eqn (3)
Comparing the given equation (3) with equation (1), we get
and ![c = -\frac{11}{12}](https://tex.z-dn.net/?f=c%20%3D%20-%5Cfrac%7B11%7D%7B12%7D)
Hence Option C is correct.
Hello!
To solve this problem, we will use a system of equations. We will have one number be x and the other y. We will use substitutions to solve for each variable.
x+y=9
x=2y-9
To solve for the two numbers, we need to solve the top equation. The second equation shows that x=2y-9. In the first equation, we can replace 2y-9 for x and solve.
2y-9+y=9
3y-9=9
3y=18
y=6
We now know the value of y. Now we need to find x. We can plug in 6 for y in the second equation to find x.
x=2·6-9
x=12-9
x=3
Just to check, we will plug these two numbers into the first equation.
3+6=9
9=9
Our two numbers are three and six.
I hope this helps!