We will use substitution to solve this system of linear equations, as the first equation has x and y with no coefficients, which makes it easier to find one in terms of the other. We can then substitute that value in the other equation and find the values of x and y.
x = y + 5 ---> equation 1
3x + 2y = 5 ---> equation 2
From equation 1, we get the value of x as y + 5. Using the substitution method, we can find the value of y by substituting (y+5) for x in the 2nd equation.
3(y+5) + 2y = 5
3y + 15 + 2y = 5
5y = 5 - 15
5y = -10
y = -2
Subsituting this value of y in (y+5), we can find x.
x = y + 5
x = -2 + 5
x = 3
Therefore, x = 3 and y = -2.
I will also solve this using elimination method.
Let us multiply equation 1 by 2, so that we get 2y in both equations.
2x = 2y + 10
3x + 2y = 5
Let us add both the equations.
2x + 3x + 2y = 5 + 2y + 10
5x = 15 + 2y - 2y
5x = 15
x = 3
Substituting this value of x in equation 1, we get
x = y + 5
3 = y + 5
y = 3 - 5
y = -2
Therefore, x = 3 and y = -2.
X=1, y=6
(2,7)
(3,8)
(4,9)
Choose a number for X then add 5. That’ll give you Ys value. So....
If x= -2, then y=3
Inverse variation is of the form y=k/x (direct variation is of the form y=kx)
We are given that x=2 when y=1 so using the inverse form y=k/x we can solve for the constant of variation...
1=k/2
k=2
so the equation is:
y=2/x now they want us to find y when x=-1 so
y=2/-1
y=-2
Answer:
.735
Step-by-step explanation:
.735 is 98 percent of .75