Let's solve this system of equations through substitution.
We have these two equations.
-7x-2y=14
6x+6y=18
Now let divide the second equation by 6.
6x+6y=18 ----> x+y=3
Next, let us move y to the right side of the equation.
x+y=3 -------> x=3-y (x equals 3-y)
Because we found out that what x is in terms of y, we can input that in for every instance of x in this equation below.
-7x-2y=14 becomes -7(3-y)-2y=14 (Why? Because x equals 3-y!)
We have a one variable equation now and can solve for y.
-7(3-y)-2y=14
-21+7y-2y=14
5y=35
y=7
Plug in 7 for y in any equation to find x.
x+y=3
x+7=3
x=-4
answer: x=-4, y=7
Answer:
25.5 and 37.5
Step-by-step explanation:
x+y=63
x-y = 12 then x = 12 + y sub this into the first equation
(12+y) + y = 63
12 + 2y = 63
2y = 51
y = 25.5 then x = 37.5
<span>B. pie chart graph is characterized by presenting data values as portions of a circle </span>
Answer:
-80
Step-by-step explanation:
Subtract 4:
-10 = x/8
Multiply by 8:
-80 = x
The value of x is -80.
_____
This sort of equation is sometimes referred to as a "two-step" linear equation.
<u>Step 1</u>. After you identify the term containing the variable (x/8), you identify any constants on the same side of the equal sign (+4). Add their opposite to both sides of the equation. That gets the variable term by itself.
<u>Step 2</u>. Then identify the coefficient of the variable (1/8). Multiply both sides of the equation by the reciprocal of this value. That will make the coefficient of the variable become 1. The constant on the other side of the equal sign is now the value of the variable.
Answer:
The ratio of zacharies nickels to dimes to quarters is <u>3 : 2 : 1</u>.
Step-by-step explanation:
Given:
Zachary has coins of the coins 3/6 are nickels, 2/6 dimes, rest are quarters.
Now, to get the ratio of zacharies nickels, to dimes to quarters.
So, as given dimes and nickels we find the quarters to get the ratio:
.
Thus, the quarters are 1/6.
Now, getting the ratio of the coins:
Nickels = 3/6 × 6 = 3
Dimes = 2/6 × 6 = 2
Quarters = 1/6 × 6 = 1
<em>Nickels : Dimes : Quarters = 3 : 2 : 1.</em>
Therefore, the ratio of zacharies nickels to dimes to quarters is 3 : 2 : 1.
