Answer:
third option (7.5, 8)
this option (6, 5, -3)
Step-by-step explanation:
you eliminate one variant by expressing it through the other(s) until you have one equation with one variable.
that you solve, and then you go back to the other elimination expressions to calculate the others.
2x - y = 7
-2x + 3y = 9
since the terms with x are already so similar, we could now simply add both equations and solve that result :
2x + (-2x) -y + 3y = 7+9 = 16
0×x + 2y = 16
2y = 16
y = 8
=>
2x - 8 = 7
2x = 15
x = 7.5
x - 2y - 3z = 5
x + 2y + 3z = 7
x + z = 3
the same trick by adding the first 2 equations
x + x -2y + 2y -3z + 3z = 5 + 7 = 12
2x + 0y + 0z = 12
2x = 12
x = 6
=>
6 + z = 3
z = -3
and then
6 + 2y + 3(-3) = 7
6 + 2y - 9 = 7
2y - 3 = 7
2y = 10
y = 5
Answer:
440
The attached file is how I would have done it.
Answer:
y = -1/4x + 1
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
The y-intercept of the line is 1, so in slope-intercept form, b will be 1.
Now, the line also intersects the y-axis at (4, 0). We can plug these two points into slope formula to find the slope: (0-1)/(4-0) = -1/4.
Therefore, the equation of the line is y=-1/4x + 1
What we do first is subtract 11.50 from 16.90.
16.90 - 11.50 = 5.4.
<h3>$5.40 is how much the four drinks cost in total.</h3>
If you wanna find the amount for each drink separately, divide 5.4 by 4.
5.4 / 4 = 1.35.
<h3>Each drink cost $1.35.</h3>
<span>To get to the simplest form you have to divide numerator and denominator by numbers they can both be divided by, until you get to a fraction where you can't divide both anymore getting an integer as a result.
Here you can only divide by 2 and you get 1/5. That's the simplest form</span>, if you kept dividing you'd get decimals, but the simplest form must be integers.
