Answer:
or y = 0.25x + 0.5
Step-by-step explanation:
You need to try change the subject from x to y.
x = 4y - 2
We first move -2 to the left, making the equation
x + 2 = 4y i.e.
4y = x + 2
We then divide both sides by 4.
or y = 0.25x + 0.5
We now have successfully made y the subject, and effectively solving the equation.
Answer:
-7
Step-by-step explanation:
Lets assume the number Peggy is thinking of be "x".
Now as given, when twice the number is added to three times one more than the number. We can write it as
∴
--- Equation 1
Again, it is given that Peggy gets the same result as when she multiplies four times one less than the number.
∴
-- equation 2
Next, we can equate both the equation 1 and 2 as it is given that result is same.

Let´s distribute 3 into
and 4 into 
⇒ 
⇒ 
Subtract both side by 4x and 3
∴ 
∴ Peggy was thinking of -7
Answer: y=4/5x-2 or y=4/5x+(-2)
Step-by-step explanation:
The formula for slope-intercept form is y=mx+b.
To find the slope, we can use the formula
and plugging in the points given.

We know our slope is 4/5. We can plug this into our slope-intercept form and then plug in a point to find b, y-intercept.




We know the y-intercept is -2.
THe final equation is y=4/5x-2 or y=4/5x+(-2).
Answer:
The numbers are 39 and 14.
Step-by-step explanation:
Equation 1, sum of the numbers:
x + y = 53
Equation 2, difference of the numbers:
x - y = 25
System of equations:
x + y = 53
x - y = 25
----------------
2x = 78
x = 39
Solve for y:
39 + y = 53
y = 14
The numbers are 39 and 14.
Answer:
(3,-4) or x=3 and y= -4
Step-by-step explanation:
I'm going to solve this by substitution
We first need to get a variable by itself in one of the two equations (it doesn't matter which variable and the equation you do the work on doesn't matter either)
I'm going to solve for y in the second equation
-4x-4y=4
add 4y and subtract 4 from both sides to get
-4x-4=4y
Divide by 4 to get
-x-1=y
We can plug this value in for y into the first equation and get
4x+5(-x-1)= -8
Solve for x
4x-5x-5= -8
-x-5= -8
-x= -3
x=3
We can plug this value into one of the first two equations and solve for y
4(3)+5y= -8
12+5y= -8
5y= -20
y= -4
Therefore the solution is (3,-4) or x=3 and y= -4