Answer:
x = 11/3 = 3 2/3
y = 13/3 = 4 1/3
Step-by-step explanation:
Here, we want to solve the system of equations simultaneously
x + y = 8
2x -3 = y
From the second equation, we have an equation for y
we can simply proceed to substitute this into the first equation
x + 2x - 3 = 8
3x - 3 = 8
3x = 8 + 3
3x = 11
x = 11/3
Recall;
y = 2x - 3
y = 2(11/3) - 3
y = 22/3 - 3
y = (22-3(3))/3
y = (22-9)/3 = 13/3
The equation of a line is usually written in what's called <em>slope-intercept form</em>.
Slope-intercept form is written as y = mx + b where m = slope and b = the y-intercept.
The slope of a line can easily be found just by using two points on the line. The slope is equal to the rise over the run, or the difference in y over the difference in x, between the two points.
The y-intercept of the line is the point at which it intersects the y-axis. (The vertical axis.) All points on the y-axis have an x coordinate of 0, so we would then add or subtract the rise and run to a point on the line until we reached x = 0.
Fortunately, we already have this point! It's (0, -2)!
Now we just need to put our slope and y-intercept into the equation.
And to test if a point is on this line, just plug in the x and y coordinates and see if the equation is true!
Answer:
C and D are correct in my calculations, I'm confused.. ;w;
Step-by-step explanation:
4x + 9 + 79 - x + y = 180
4x - x + y + 79 + 9 = 180
3x + y + 88 = 180
3x + y = 180 - 88
3x + y = 92
y = 92 - 3x
A.) x = 64, y = 50
y = 92 - 3x
(50) = 92 - 3(64)
50 = 92 - 192
50 ≠ - 100
B.) x = 14, y = 152
y = 92 - 3x
(152) = 92 - 3(14)
152 = 92 - 42
152 ≠ 50
C.) x = 23.3, y = 22.1
y = 92 - 3x
(22.1) = 92 - 3(23.3)
22.1 = 92 - 69.9
22.1 = 22.1
D.) x = 14, y = 50
y = 92 - 3x
(50) = 92 - 3(14)
50 = 92 - 42
50 = 50
(x-y) = 135
Squaring both sides,
(x-y)^2 = 18,225
x^2 + y^2 - 2xy = 18,225
x^2 + y^2 = 18,225 + 2xy = 18,225+2*9 = 18,225+18 = 18,243.
Hope this helps you!
Answer:
A. 9
Step-by-step explanation: