To solve this system of equations, the easiest method to use is substitution. Both of our equations are already in terms of y (set equal to y), so we can substitute in the equivalent x values to create an equation with only one variable.
y = 14x - 6
y = -4x + 48
-4x + 48 = 14x - 6
To simplify, we are going to add 4x and add 6 to both sides of the equation to get all of the constant terms on one side of the equation and all of the variable terms on the other. We are also going to simplify by combining like terms.
-4x + 4x + 48 + 6 = 14x + 4x - 6 + 6
48 + 6 = 14x + 4x
54 = 18x
Finally, we must divide both sides of the equation by 18 because division is the inverse operation of multiplication, which allows us to cancel out the coefficient of 18.
54/18 = 18x/18
3 = x
Therefore, your answer is B. x = 3.
Hope this helps!
Answer:
The answer is A
Step-by-step explanation:
Answer:
(4,8)
x=4
y=8
Step-by-step explanation:
x is the first number
y is the second number
x+y=12
x-y= -4
Let's add y and 4 to the second equation to get y by itself
x+4=y
We can substitute this value in for y in the first equation
x+x+4=12
2x=8
x=4
We can then use x=4 and plug that into any equation
4+y=12
y=8
The answer is (4,8)
Answer:
Step-by-step explanation:
327.68 .... just multiply 3.2 times 3.2 times 3.2 and then times 10
Answer:
y = -3/2x + 3
Step-by-step explanation:
First, know that slope-intercept form is y = mx + b. Since our y-intercept is 3, we can plug that in for B, and since the slope goes down 3 and over to the right 2, it is -3/2. So, when everything's plugged in, we get y = -3/2x + 3.
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